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Finding the Fourth Proportional to 3,177.90, 4,732.43 and 3,123.18

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Solution

The fourth proportional to 3,177.90, 4,732.43 and 3,123.18 is: 4,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.90 : 4,732.43 = 3,123.18 : x
  2. Step 2: Convert to fraction form
    3,177.90/4,732.43 = 3,123.18/x
  3. Step 3: Cross multiply
    3,177.90x = 4,732.43 × 3,123.18
  4. Step 4: Simplify right side
    3,177.90x = 14,780,215.11
  5. Step 5: Solve for x
    x = 14,780,215.11/3,177.90
  6. Step 6: Final answer
    x = 4,650.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.