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Finding the Fourth Proportional to 5,407.74, 7,451.61 and 3,989.19

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Solution

The fourth proportional to 5,407.74, 7,451.61 and 3,989.19 is: 5,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.74 : 7,451.61 = 3,989.19 : x
  2. Step 2: Convert to fraction form
    5,407.74/7,451.61 = 3,989.19/x
  3. Step 3: Cross multiply
    5,407.74x = 7,451.61 × 3,989.19
  4. Step 4: Simplify right side
    5,407.74x = 29,725,888.10
  5. Step 5: Solve for x
    x = 29,725,888.10/5,407.74
  6. Step 6: Final answer
    x = 5,496.92

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