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Finding the Fourth Proportional to 3,793.32, 5,689.80 and 2,409.30

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Solution

The fourth proportional to 3,793.32, 5,689.80 and 2,409.30 is: 3,613.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.32 : 5,689.80 = 2,409.30 : x
  2. Step 2: Convert to fraction form
    3,793.32/5,689.80 = 2,409.30/x
  3. Step 3: Cross multiply
    3,793.32x = 5,689.80 × 2,409.30
  4. Step 4: Simplify right side
    3,793.32x = 13,708,435.14
  5. Step 5: Solve for x
    x = 13,708,435.14/3,793.32
  6. Step 6: Final answer
    x = 3,613.84

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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.