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Finding the Fourth Proportional to 5,722.24, 8,577 and 2,438.08

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Solution

The fourth proportional to 5,722.24, 8,577 and 2,438.08 is: 3,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.24 : 8,577 = 2,438.08 : x
  2. Step 2: Convert to fraction form
    5,722.24/8,577 = 2,438.08/x
  3. Step 3: Cross multiply
    5,722.24x = 8,577 × 2,438.08
  4. Step 4: Simplify right side
    5,722.24x = 20,911,412.16
  5. Step 5: Solve for x
    x = 20,911,412.16/5,722.24
  6. Step 6: Final answer
    x = 3,654.41

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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.