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Finding the Fourth Proportional to 4,358.72, 6,538.62 and 1,586.69

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Solution

The fourth proportional to 4,358.72, 6,538.62 and 1,586.69 is: 2,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,358.72 : 6,538.62 = 1,586.69 : x
  2. Step 2: Convert to fraction form
    4,358.72/6,538.62 = 1,586.69/x
  3. Step 3: Cross multiply
    4,358.72x = 6,538.62 × 1,586.69
  4. Step 4: Simplify right side
    4,358.72x = 10,374,730.27
  5. Step 5: Solve for x
    x = 10,374,730.27/4,358.72
  6. Step 6: Final answer
    x = 2,380.23

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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.