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Finding the Fourth Proportional to 5,702.25, 8,543.57 and 5,124.45

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Solution

The fourth proportional to 5,702.25, 8,543.57 and 5,124.45 is: 7,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.25 : 8,543.57 = 5,124.45 : x
  2. Step 2: Convert to fraction form
    5,702.25/8,543.57 = 5,124.45/x
  3. Step 3: Cross multiply
    5,702.25x = 8,543.57 × 5,124.45
  4. Step 4: Simplify right side
    5,702.25x = 43,781,097.29
  5. Step 5: Solve for x
    x = 43,781,097.29/5,702.25
  6. Step 6: Final answer
    x = 7,677.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.