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Finding the Fourth Proportional to 5,398.92, 7,451.46 and 5,152.68

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Solution

The fourth proportional to 5,398.92, 7,451.46 and 5,152.68 is: 7,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.92 : 7,451.46 = 5,152.68 : x
  2. Step 2: Convert to fraction form
    5,398.92/7,451.46 = 5,152.68/x
  3. Step 3: Cross multiply
    5,398.92x = 7,451.46 × 5,152.68
  4. Step 4: Simplify right side
    5,398.92x = 38,394,988.91
  5. Step 5: Solve for x
    x = 38,394,988.91/5,398.92
  6. Step 6: Final answer
    x = 7,111.61

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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.