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Finding the Fourth Proportional to 5,862.78, 8,795.03 and 1,702.24

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Solution

The fourth proportional to 5,862.78, 8,795.03 and 1,702.24 is: 2,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.78 : 8,795.03 = 1,702.24 : x
  2. Step 2: Convert to fraction form
    5,862.78/8,795.03 = 1,702.24/x
  3. Step 3: Cross multiply
    5,862.78x = 8,795.03 × 1,702.24
  4. Step 4: Simplify right side
    5,862.78x = 14,971,251.87
  5. Step 5: Solve for x
    x = 14,971,251.87/5,862.78
  6. Step 6: Final answer
    x = 2,553.61

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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.