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Finding the Fourth Proportional to 5,402.25, 7,456.50 and 3,518.53

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Solution

The fourth proportional to 5,402.25, 7,456.50 and 3,518.53 is: 4,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.25 : 7,456.50 = 3,518.53 : x
  2. Step 2: Convert to fraction form
    5,402.25/7,456.50 = 3,518.53/x
  3. Step 3: Cross multiply
    5,402.25x = 7,456.50 × 3,518.53
  4. Step 4: Simplify right side
    5,402.25x = 26,235,910.15
  5. Step 5: Solve for x
    x = 26,235,910.15/5,402.25
  6. Step 6: Final answer
    x = 4,856.48

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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.