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Finding the Fourth Proportional to 4,689.35, 7,034.17 and 1,402.62

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Solution

The fourth proportional to 4,689.35, 7,034.17 and 1,402.62 is: 2,103.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.35 : 7,034.17 = 1,402.62 : x
  2. Step 2: Convert to fraction form
    4,689.35/7,034.17 = 1,402.62/x
  3. Step 3: Cross multiply
    4,689.35x = 7,034.17 × 1,402.62
  4. Step 4: Simplify right side
    4,689.35x = 9,866,267.53
  5. Step 5: Solve for x
    x = 9,866,267.53/4,689.35
  6. Step 6: Final answer
    x = 2,103.97

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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.