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Finding the Fourth Proportional to 6,154.38, 9,225.90 and 2,454.30

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Solution

The fourth proportional to 6,154.38, 9,225.90 and 2,454.30 is: 3,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.38 : 9,225.90 = 2,454.30 : x
  2. Step 2: Convert to fraction form
    6,154.38/9,225.90 = 2,454.30/x
  3. Step 3: Cross multiply
    6,154.38x = 9,225.90 × 2,454.30
  4. Step 4: Simplify right side
    6,154.38x = 22,643,126.37
  5. Step 5: Solve for x
    x = 22,643,126.37/6,154.38
  6. Step 6: Final answer
    x = 3,679.19

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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.