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Finding the Fourth Proportional to 4,302.60, 6,443.10 and 3,438.60

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Solution

The fourth proportional to 4,302.60, 6,443.10 and 3,438.60 is: 5,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.60 : 6,443.10 = 3,438.60 : x
  2. Step 2: Convert to fraction form
    4,302.60/6,443.10 = 3,438.60/x
  3. Step 3: Cross multiply
    4,302.60x = 6,443.10 × 3,438.60
  4. Step 4: Simplify right side
    4,302.60x = 22,155,243.66
  5. Step 5: Solve for x
    x = 22,155,243.66/4,302.60
  6. Step 6: Final answer
    x = 5,149.27

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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.