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Finding the Fourth Proportional to 5,702.68, 8,553.96 and 1,543.08

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Solution

The fourth proportional to 5,702.68, 8,553.96 and 1,543.08 is: 2,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.68 : 8,553.96 = 1,543.08 : x
  2. Step 2: Convert to fraction form
    5,702.68/8,553.96 = 1,543.08/x
  3. Step 3: Cross multiply
    5,702.68x = 8,553.96 × 1,543.08
  4. Step 4: Simplify right side
    5,702.68x = 13,199,444.60
  5. Step 5: Solve for x
    x = 13,199,444.60/5,702.68
  6. Step 6: Final answer
    x = 2,314.60

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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.