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Finding the Fourth Proportional to 3,158.16, 4,737.03 and 966.69

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Solution

The fourth proportional to 3,158.16, 4,737.03 and 966.69 is: 1,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.16 : 4,737.03 = 966.69 : x
  2. Step 2: Convert to fraction form
    3,158.16/4,737.03 = 966.69/x
  3. Step 3: Cross multiply
    3,158.16x = 4,737.03 × 966.69
  4. Step 4: Simplify right side
    3,158.16x = 4,579,239.53
  5. Step 5: Solve for x
    x = 4,579,239.53/3,158.16
  6. Step 6: Final answer
    x = 1,449.97

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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.