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Finding the Fourth Proportional to 4,126.52, 5,689.16 and 3,415.74

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Solution

The fourth proportional to 4,126.52, 5,689.16 and 3,415.74 is: 4,709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.52 : 5,689.16 = 3,415.74 : x
  2. Step 2: Convert to fraction form
    4,126.52/5,689.16 = 3,415.74/x
  3. Step 3: Cross multiply
    4,126.52x = 5,689.16 × 3,415.74
  4. Step 4: Simplify right side
    4,126.52x = 19,432,691.38
  5. Step 5: Solve for x
    x = 19,432,691.38/4,126.52
  6. Step 6: Final answer
    x = 4,709.22

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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.