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Finding the Fourth Proportional to 6,155.89, 9,233.85 and 2,458.42

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Solution

The fourth proportional to 6,155.89, 9,233.85 and 2,458.42 is: 3,687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.89 : 9,233.85 = 2,458.42 : x
  2. Step 2: Convert to fraction form
    6,155.89/9,233.85 = 2,458.42/x
  3. Step 3: Cross multiply
    6,155.89x = 9,233.85 × 2,458.42
  4. Step 4: Simplify right side
    6,155.89x = 22,700,681.52
  5. Step 5: Solve for x
    x = 22,700,681.52/6,155.89
  6. Step 6: Final answer
    x = 3,687.64

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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.