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Finding the Fourth Proportional to 3,147.52, 4,721.88 and 1,199.56

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Solution

The fourth proportional to 3,147.52, 4,721.88 and 1,199.56 is: 1,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.52 : 4,721.88 = 1,199.56 : x
  2. Step 2: Convert to fraction form
    3,147.52/4,721.88 = 1,199.56/x
  3. Step 3: Cross multiply
    3,147.52x = 4,721.88 × 1,199.56
  4. Step 4: Simplify right side
    3,147.52x = 5,664,178.37
  5. Step 5: Solve for x
    x = 5,664,178.37/3,147.52
  6. Step 6: Final answer
    x = 1,799.57

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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.