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Finding the Fourth Proportional to 3,916.57, 5,401.19 and 3,122.53

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Solution

The fourth proportional to 3,916.57, 5,401.19 and 3,122.53 is: 4,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.57 : 5,401.19 = 3,122.53 : x
  2. Step 2: Convert to fraction form
    3,916.57/5,401.19 = 3,122.53/x
  3. Step 3: Cross multiply
    3,916.57x = 5,401.19 × 3,122.53
  4. Step 4: Simplify right side
    3,916.57x = 16,865,377.81
  5. Step 5: Solve for x
    x = 16,865,377.81/3,916.57
  6. Step 6: Final answer
    x = 4,306.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.