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Finding the Fourth Proportional to 5,702.96, 8,542.86 and 4,775.90

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Solution

The fourth proportional to 5,702.96, 8,542.86 and 4,775.90 is: 7,154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.96 : 8,542.86 = 4,775.90 : x
  2. Step 2: Convert to fraction form
    5,702.96/8,542.86 = 4,775.90/x
  3. Step 3: Cross multiply
    5,702.96x = 8,542.86 × 4,775.90
  4. Step 4: Simplify right side
    5,702.96x = 40,799,845.07
  5. Step 5: Solve for x
    x = 40,799,845.07/5,702.96
  6. Step 6: Final answer
    x = 7,154.15

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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.