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Finding the Fourth Proportional to 3,170.63, 4,756.14 and 862.13

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Solution

The fourth proportional to 3,170.63, 4,756.14 and 862.13 is: 1,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.63 : 4,756.14 = 862.13 : x
  2. Step 2: Convert to fraction form
    3,170.63/4,756.14 = 862.13/x
  3. Step 3: Cross multiply
    3,170.63x = 4,756.14 × 862.13
  4. Step 4: Simplify right side
    3,170.63x = 4,100,387.20
  5. Step 5: Solve for x
    x = 4,100,387.20/3,170.63
  6. Step 6: Final answer
    x = 1,293.24

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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.