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Finding the Fourth Proportional to 5,644,417.37, 7,789,509.64 and 3,163,683.50

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Solution

The fourth proportional to 5,644,417.37, 7,789,509.64 and 3,163,683.50 is: 4,366,002.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644,417.37 : 7,789,509.64 = 3,163,683.50 : x
  2. Step 2: Convert to fraction form
    5,644,417.37/7,789,509.64 = 3,163,683.50/x
  3. Step 3: Cross multiply
    5,644,417.37x = 7,789,509.64 × 3,163,683.50
  4. Step 4: Simplify right side
    5,644,417.37x = 24,643,543,115,376.66
  5. Step 5: Solve for x
    x = 24,643,543,115,376.66/5,644,417.37
  6. Step 6: Final answer
    x = 4,366,002.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.