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Finding the Fourth Proportional to 3,217.74, 4,827.87 and 1,138.02

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Solution

The fourth proportional to 3,217.74, 4,827.87 and 1,138.02 is: 1,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.74 : 4,827.87 = 1,138.02 : x
  2. Step 2: Convert to fraction form
    3,217.74/4,827.87 = 1,138.02/x
  3. Step 3: Cross multiply
    3,217.74x = 4,827.87 × 1,138.02
  4. Step 4: Simplify right side
    3,217.74x = 5,494,212.62
  5. Step 5: Solve for x
    x = 5,494,212.62/3,217.74
  6. Step 6: Final answer
    x = 1,707.48

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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.