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Finding the Fourth Proportional to 3,147.75, 4,718.67 and 1,066.29

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Solution

The fourth proportional to 3,147.75, 4,718.67 and 1,066.29 is: 1,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.75 : 4,718.67 = 1,066.29 : x
  2. Step 2: Convert to fraction form
    3,147.75/4,718.67 = 1,066.29/x
  3. Step 3: Cross multiply
    3,147.75x = 4,718.67 × 1,066.29
  4. Step 4: Simplify right side
    3,147.75x = 5,031,470.63
  5. Step 5: Solve for x
    x = 5,031,470.63/3,147.75
  6. Step 6: Final answer
    x = 1,598.43

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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.