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Finding the Fourth Proportional to 5,442.50, 7,508.12 and 3,202.96

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Solution

The fourth proportional to 5,442.50, 7,508.12 and 3,202.96 is: 4,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.50 : 7,508.12 = 3,202.96 : x
  2. Step 2: Convert to fraction form
    5,442.50/7,508.12 = 3,202.96/x
  3. Step 3: Cross multiply
    5,442.50x = 7,508.12 × 3,202.96
  4. Step 4: Simplify right side
    5,442.50x = 24,048,208.04
  5. Step 5: Solve for x
    x = 24,048,208.04/5,442.50
  6. Step 6: Final answer
    x = 4,418.60

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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.