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Finding the Fourth Proportional to 3,957.40, 5,939.02 and 1,877.40

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Solution

The fourth proportional to 3,957.40, 5,939.02 and 1,877.40 is: 2,817.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.40 : 5,939.02 = 1,877.40 : x
  2. Step 2: Convert to fraction form
    3,957.40/5,939.02 = 1,877.40/x
  3. Step 3: Cross multiply
    3,957.40x = 5,939.02 × 1,877.40
  4. Step 4: Simplify right side
    3,957.40x = 11,149,916.15
  5. Step 5: Solve for x
    x = 11,149,916.15/3,957.40
  6. Step 6: Final answer
    x = 2,817.49

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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.