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Finding the Fourth Proportional to 5,208.71, 7,762.50 and 5,042.66

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Solution

The fourth proportional to 5,208.71, 7,762.50 and 5,042.66 is: 7,515.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.71 : 7,762.50 = 5,042.66 : x
  2. Step 2: Convert to fraction form
    5,208.71/7,762.50 = 5,042.66/x
  3. Step 3: Cross multiply
    5,208.71x = 7,762.50 × 5,042.66
  4. Step 4: Simplify right side
    5,208.71x = 39,143,609.44
  5. Step 5: Solve for x
    x = 39,143,609.44/5,208.71
  6. Step 6: Final answer
    x = 7,515.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.