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Finding the Fourth Proportional to 6,151.92, 9,225.60 and 2,453.04

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Solution

The fourth proportional to 6,151.92, 9,225.60 and 2,453.04 is: 3,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.92 : 9,225.60 = 2,453.04 : x
  2. Step 2: Convert to fraction form
    6,151.92/9,225.60 = 2,453.04/x
  3. Step 3: Cross multiply
    6,151.92x = 9,225.60 × 2,453.04
  4. Step 4: Simplify right side
    6,151.92x = 22,630,765.82
  5. Step 5: Solve for x
    x = 22,630,765.82/6,151.92
  6. Step 6: Final answer
    x = 3,678.65

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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.