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Finding the Fourth Proportional to 3,167.16, 4,750.42 and 1,115

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Solution

The fourth proportional to 3,167.16, 4,750.42 and 1,115 is: 1,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.16 : 4,750.42 = 1,115 : x
  2. Step 2: Convert to fraction form
    3,167.16/4,750.42 = 1,115/x
  3. Step 3: Cross multiply
    3,167.16x = 4,750.42 × 1,115
  4. Step 4: Simplify right side
    3,167.16x = 5,296,718.30
  5. Step 5: Solve for x
    x = 5,296,718.30/3,167.16
  6. Step 6: Final answer
    x = 1,672.39

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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.