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Finding the Fourth Proportional to 4,342.40, 6,513.60 and 3,478.40

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Solution

The fourth proportional to 4,342.40, 6,513.60 and 3,478.40 is: 5,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.40 : 6,513.60 = 3,478.40 : x
  2. Step 2: Convert to fraction form
    4,342.40/6,513.60 = 3,478.40/x
  3. Step 3: Cross multiply
    4,342.40x = 6,513.60 × 3,478.40
  4. Step 4: Simplify right side
    4,342.40x = 22,656,906.24
  5. Step 5: Solve for x
    x = 22,656,906.24/4,342.40
  6. Step 6: Final answer
    x = 5,217.60

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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.