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Finding the Fourth Proportional to 4,149.52, 6,225.12 and 1,227.76

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Solution

The fourth proportional to 4,149.52, 6,225.12 and 1,227.76 is: 1,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.52 : 6,225.12 = 1,227.76 : x
  2. Step 2: Convert to fraction form
    4,149.52/6,225.12 = 1,227.76/x
  3. Step 3: Cross multiply
    4,149.52x = 6,225.12 × 1,227.76
  4. Step 4: Simplify right side
    4,149.52x = 7,642,953.33
  5. Step 5: Solve for x
    x = 7,642,953.33/4,149.52
  6. Step 6: Final answer
    x = 1,841.89

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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.