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Finding the Fourth Proportional to 5,916.50, 8,877.38 and 3,142.49

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Solution

The fourth proportional to 5,916.50, 8,877.38 and 3,142.49 is: 4,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.50 : 8,877.38 = 3,142.49 : x
  2. Step 2: Convert to fraction form
    5,916.50/8,877.38 = 3,142.49/x
  3. Step 3: Cross multiply
    5,916.50x = 8,877.38 × 3,142.49
  4. Step 4: Simplify right side
    5,916.50x = 27,897,084.36
  5. Step 5: Solve for x
    x = 27,897,084.36/5,916.50
  6. Step 6: Final answer
    x = 4,715.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.