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Finding the Fourth Proportional to 5,675.76, 8,531.87 and 5,269.95

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Solution

The fourth proportional to 5,675.76, 8,531.87 and 5,269.95 is: 7,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.76 : 8,531.87 = 5,269.95 : x
  2. Step 2: Convert to fraction form
    5,675.76/8,531.87 = 5,269.95/x
  3. Step 3: Cross multiply
    5,675.76x = 8,531.87 × 5,269.95
  4. Step 4: Simplify right side
    5,675.76x = 44,962,501.96
  5. Step 5: Solve for x
    x = 44,962,501.96/5,675.76
  6. Step 6: Final answer
    x = 7,921.85

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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.