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Finding the Fourth Proportional to 3,535.68, 5,304.90 and 1,587.44

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Solution

The fourth proportional to 3,535.68, 5,304.90 and 1,587.44 is: 2,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.68 : 5,304.90 = 1,587.44 : x
  2. Step 2: Convert to fraction form
    3,535.68/5,304.90 = 1,587.44/x
  3. Step 3: Cross multiply
    3,535.68x = 5,304.90 × 1,587.44
  4. Step 4: Simplify right side
    3,535.68x = 8,421,210.46
  5. Step 5: Solve for x
    x = 8,421,210.46/3,535.68
  6. Step 6: Final answer
    x = 2,381.78

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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.