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Finding the Fourth Proportional to 4,737.16, 7,096.02 and 3,434.68

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Solution

The fourth proportional to 4,737.16, 7,096.02 and 3,434.68 is: 5,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.16 : 7,096.02 = 3,434.68 : x
  2. Step 2: Convert to fraction form
    4,737.16/7,096.02 = 3,434.68/x
  3. Step 3: Cross multiply
    4,737.16x = 7,096.02 × 3,434.68
  4. Step 4: Simplify right side
    4,737.16x = 24,372,557.97
  5. Step 5: Solve for x
    x = 24,372,557.97/4,737.16
  6. Step 6: Final answer
    x = 5,144.97

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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.