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Finding the Fourth Proportional to 5,427.50, 7,496.82 and 4,013.24

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Solution

The fourth proportional to 5,427.50, 7,496.82 and 4,013.24 is: 5,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.50 : 7,496.82 = 4,013.24 : x
  2. Step 2: Convert to fraction form
    5,427.50/7,496.82 = 4,013.24/x
  3. Step 3: Cross multiply
    5,427.50x = 7,496.82 × 4,013.24
  4. Step 4: Simplify right side
    5,427.50x = 30,086,500.41
  5. Step 5: Solve for x
    x = 30,086,500.41/5,427.50
  6. Step 6: Final answer
    x = 5,543.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.