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Finding the Fourth Proportional to 3,622.46, 5,435.24 and 1,542.92

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Solution

The fourth proportional to 3,622.46, 5,435.24 and 1,542.92 is: 2,315.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.46 : 5,435.24 = 1,542.92 : x
  2. Step 2: Convert to fraction form
    3,622.46/5,435.24 = 1,542.92/x
  3. Step 3: Cross multiply
    3,622.46x = 5,435.24 × 1,542.92
  4. Step 4: Simplify right side
    3,622.46x = 8,386,105.61
  5. Step 5: Solve for x
    x = 8,386,105.61/3,622.46
  6. Step 6: Final answer
    x = 2,315.03

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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.