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Finding the Fourth Proportional to 4,312.60, 6,469.62 and 1,538.62

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Solution

The fourth proportional to 4,312.60, 6,469.62 and 1,538.62 is: 2,308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.60 : 6,469.62 = 1,538.62 : x
  2. Step 2: Convert to fraction form
    4,312.60/6,469.62 = 1,538.62/x
  3. Step 3: Cross multiply
    4,312.60x = 6,469.62 × 1,538.62
  4. Step 4: Simplify right side
    4,312.60x = 9,954,286.72
  5. Step 5: Solve for x
    x = 9,954,286.72/4,312.60
  6. Step 6: Final answer
    x = 2,308.19

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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.