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Finding the Fourth Proportional to 3,352.71, 5,029.78 and 1,012.89

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Solution

The fourth proportional to 3,352.71, 5,029.78 and 1,012.89 is: 1,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.71 : 5,029.78 = 1,012.89 : x
  2. Step 2: Convert to fraction form
    3,352.71/5,029.78 = 1,012.89/x
  3. Step 3: Cross multiply
    3,352.71x = 5,029.78 × 1,012.89
  4. Step 4: Simplify right side
    3,352.71x = 5,094,613.86
  5. Step 5: Solve for x
    x = 5,094,613.86/3,352.71
  6. Step 6: Final answer
    x = 1,519.55

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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.