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Finding the Fourth Proportional to 5,689.38, 7,859.10 and 4,814.58

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Solution

The fourth proportional to 5,689.38, 7,859.10 and 4,814.58 is: 6,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.38 : 7,859.10 = 4,814.58 : x
  2. Step 2: Convert to fraction form
    5,689.38/7,859.10 = 4,814.58/x
  3. Step 3: Cross multiply
    5,689.38x = 7,859.10 × 4,814.58
  4. Step 4: Simplify right side
    5,689.38x = 37,838,265.68
  5. Step 5: Solve for x
    x = 37,838,265.68/5,689.38
  6. Step 6: Final answer
    x = 6,650.68

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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.