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Finding the Fourth Proportional to 5,693.80, 8,540.72 and 2,406.04

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Solution

The fourth proportional to 5,693.80, 8,540.72 and 2,406.04 is: 3,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.80 : 8,540.72 = 2,406.04 : x
  2. Step 2: Convert to fraction form
    5,693.80/8,540.72 = 2,406.04/x
  3. Step 3: Cross multiply
    5,693.80x = 8,540.72 × 2,406.04
  4. Step 4: Simplify right side
    5,693.80x = 20,549,313.95
  5. Step 5: Solve for x
    x = 20,549,313.95/5,693.80
  6. Step 6: Final answer
    x = 3,609.07

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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.