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Finding the Fourth Proportional to 5,807.72, 8,014.64 and 3,289.82

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Solution

The fourth proportional to 5,807.72, 8,014.64 and 3,289.82 is: 4,539.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.72 : 8,014.64 = 3,289.82 : x
  2. Step 2: Convert to fraction form
    5,807.72/8,014.64 = 3,289.82/x
  3. Step 3: Cross multiply
    5,807.72x = 8,014.64 × 3,289.82
  4. Step 4: Simplify right side
    5,807.72x = 26,366,726.55
  5. Step 5: Solve for x
    x = 26,366,726.55/5,807.72
  6. Step 6: Final answer
    x = 4,539.94

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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.