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Finding the Fourth Proportional to 3,442.64, 5,189.90 and 3,219.92

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Solution

The fourth proportional to 3,442.64, 5,189.90 and 3,219.92 is: 4,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.64 : 5,189.90 = 3,219.92 : x
  2. Step 2: Convert to fraction form
    3,442.64/5,189.90 = 3,219.92/x
  3. Step 3: Cross multiply
    3,442.64x = 5,189.90 × 3,219.92
  4. Step 4: Simplify right side
    3,442.64x = 16,711,062.81
  5. Step 5: Solve for x
    x = 16,711,062.81/3,442.64
  6. Step 6: Final answer
    x = 4,854.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.