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Finding the Fourth Proportional to 5,125.98, 7,688.97 and 3,957.68

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Solution

The fourth proportional to 5,125.98, 7,688.97 and 3,957.68 is: 5,936.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.98 : 7,688.97 = 3,957.68 : x
  2. Step 2: Convert to fraction form
    5,125.98/7,688.97 = 3,957.68/x
  3. Step 3: Cross multiply
    5,125.98x = 7,688.97 × 3,957.68
  4. Step 4: Simplify right side
    5,125.98x = 30,430,502.01
  5. Step 5: Solve for x
    x = 30,430,502.01/5,125.98
  6. Step 6: Final answer
    x = 5,936.52

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