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Finding the Fourth Proportional to 5,702.69, 7,869.27 and 3,184.61

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Solution

The fourth proportional to 5,702.69, 7,869.27 and 3,184.61 is: 4,394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.69 : 7,869.27 = 3,184.61 : x
  2. Step 2: Convert to fraction form
    5,702.69/7,869.27 = 3,184.61/x
  3. Step 3: Cross multiply
    5,702.69x = 7,869.27 × 3,184.61
  4. Step 4: Simplify right side
    5,702.69x = 25,060,500.67
  5. Step 5: Solve for x
    x = 25,060,500.67/5,702.69
  6. Step 6: Final answer
    x = 4,394.51

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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.