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Finding the Fourth Proportional to 3,585.68, 5,373.87 and 1,609.85

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Solution

The fourth proportional to 3,585.68, 5,373.87 and 1,609.85 is: 2,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.68 : 5,373.87 = 1,609.85 : x
  2. Step 2: Convert to fraction form
    3,585.68/5,373.87 = 1,609.85/x
  3. Step 3: Cross multiply
    3,585.68x = 5,373.87 × 1,609.85
  4. Step 4: Simplify right side
    3,585.68x = 8,651,124.62
  5. Step 5: Solve for x
    x = 8,651,124.62/3,585.68
  6. Step 6: Final answer
    x = 2,412.69

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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.