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Finding the Fourth Proportional to 5,702.70, 7,869.72 and 3,463.98

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Solution

The fourth proportional to 5,702.70, 7,869.72 and 3,463.98 is: 4,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.70 : 7,869.72 = 3,463.98 : x
  2. Step 2: Convert to fraction form
    5,702.70/7,869.72 = 3,463.98/x
  3. Step 3: Cross multiply
    5,702.70x = 7,869.72 × 3,463.98
  4. Step 4: Simplify right side
    5,702.70x = 27,260,552.69
  5. Step 5: Solve for x
    x = 27,260,552.69/5,702.70
  6. Step 6: Final answer
    x = 4,780.29

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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.