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Finding the Fourth Proportional to 3,143.20, 4,687.02 and 3,115.08

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Solution

The fourth proportional to 3,143.20, 4,687.02 and 3,115.08 is: 4,645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.20 : 4,687.02 = 3,115.08 : x
  2. Step 2: Convert to fraction form
    3,143.20/4,687.02 = 3,115.08/x
  3. Step 3: Cross multiply
    3,143.20x = 4,687.02 × 3,115.08
  4. Step 4: Simplify right side
    3,143.20x = 14,600,442.26
  5. Step 5: Solve for x
    x = 14,600,442.26/3,143.20
  6. Step 6: Final answer
    x = 4,645.09

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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.