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Finding the Fourth Proportional to 4,272.67, 6,407.76 and 1,498.83

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Solution

The fourth proportional to 4,272.67, 6,407.76 and 1,498.83 is: 2,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.67 : 6,407.76 = 1,498.83 : x
  2. Step 2: Convert to fraction form
    4,272.67/6,407.76 = 1,498.83/x
  3. Step 3: Cross multiply
    4,272.67x = 6,407.76 × 1,498.83
  4. Step 4: Simplify right side
    4,272.67x = 9,604,142.92
  5. Step 5: Solve for x
    x = 9,604,142.92/4,272.67
  6. Step 6: Final answer
    x = 2,247.81

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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.