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Finding the Fourth Proportional to 5,252.64, 7,866.54 and 2,909.22

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Solution

The fourth proportional to 5,252.64, 7,866.54 and 2,909.22 is: 4,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.64 : 7,866.54 = 2,909.22 : x
  2. Step 2: Convert to fraction form
    5,252.64/7,866.54 = 2,909.22/x
  3. Step 3: Cross multiply
    5,252.64x = 7,866.54 × 2,909.22
  4. Step 4: Simplify right side
    5,252.64x = 22,885,495.50
  5. Step 5: Solve for x
    x = 22,885,495.50/5,252.64
  6. Step 6: Final answer
    x = 4,356.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.