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Finding the Fourth Proportional to 4,414.72, 6,078.96 and 4,317.52

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Solution

The fourth proportional to 4,414.72, 6,078.96 and 4,317.52 is: 5,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414.72 : 6,078.96 = 4,317.52 : x
  2. Step 2: Convert to fraction form
    4,414.72/6,078.96 = 4,317.52/x
  3. Step 3: Cross multiply
    4,414.72x = 6,078.96 × 4,317.52
  4. Step 4: Simplify right side
    4,414.72x = 26,246,031.38
  5. Step 5: Solve for x
    x = 26,246,031.38/4,414.72
  6. Step 6: Final answer
    x = 5,945.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.