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Finding the Fourth Proportional to 3,535.42, 5,294.92 and 3,412.40

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Solution

The fourth proportional to 3,535.42, 5,294.92 and 3,412.40 is: 5,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.42 : 5,294.92 = 3,412.40 : x
  2. Step 2: Convert to fraction form
    3,535.42/5,294.92 = 3,412.40/x
  3. Step 3: Cross multiply
    3,535.42x = 5,294.92 × 3,412.40
  4. Step 4: Simplify right side
    3,535.42x = 18,068,385.01
  5. Step 5: Solve for x
    x = 18,068,385.01/3,535.42
  6. Step 6: Final answer
    x = 5,110.68

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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.