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Finding the Fourth Proportional to 3,403.61, 5,102.14 and 1,211.15

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Solution

The fourth proportional to 3,403.61, 5,102.14 and 1,211.15 is: 1,815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.61 : 5,102.14 = 1,211.15 : x
  2. Step 2: Convert to fraction form
    3,403.61/5,102.14 = 1,211.15/x
  3. Step 3: Cross multiply
    3,403.61x = 5,102.14 × 1,211.15
  4. Step 4: Simplify right side
    3,403.61x = 6,179,456.86
  5. Step 5: Solve for x
    x = 6,179,456.86/3,403.61
  6. Step 6: Final answer
    x = 1,815.56

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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.