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Finding the Fourth Proportional to 5,702.43, 8,553.78 and 1,806.87

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Solution

The fourth proportional to 5,702.43, 8,553.78 and 1,806.87 is: 2,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.43 : 8,553.78 = 1,806.87 : x
  2. Step 2: Convert to fraction form
    5,702.43/8,553.78 = 1,806.87/x
  3. Step 3: Cross multiply
    5,702.43x = 8,553.78 × 1,806.87
  4. Step 4: Simplify right side
    5,702.43x = 15,455,568.47
  5. Step 5: Solve for x
    x = 15,455,568.47/5,702.43
  6. Step 6: Final answer
    x = 2,710.35

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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.