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Finding the Fourth Proportional to 3,175.88, 4,764.08 and 867.38

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Solution

The fourth proportional to 3,175.88, 4,764.08 and 867.38 is: 1,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.88 : 4,764.08 = 867.38 : x
  2. Step 2: Convert to fraction form
    3,175.88/4,764.08 = 867.38/x
  3. Step 3: Cross multiply
    3,175.88x = 4,764.08 × 867.38
  4. Step 4: Simplify right side
    3,175.88x = 4,132,246.06
  5. Step 5: Solve for x
    x = 4,132,246.06/3,175.88
  6. Step 6: Final answer
    x = 1,301.14

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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.