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Finding the Fourth Proportional to 3,158.32, 4,737.48 and 1,209.46

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Solution

The fourth proportional to 3,158.32, 4,737.48 and 1,209.46 is: 1,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.32 : 4,737.48 = 1,209.46 : x
  2. Step 2: Convert to fraction form
    3,158.32/4,737.48 = 1,209.46/x
  3. Step 3: Cross multiply
    3,158.32x = 4,737.48 × 1,209.46
  4. Step 4: Simplify right side
    3,158.32x = 5,729,792.56
  5. Step 5: Solve for x
    x = 5,729,792.56/3,158.32
  6. Step 6: Final answer
    x = 1,814.19

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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.