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Finding the Fourth Proportional to 3,126.65, 4,689.29 and 935.55

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Solution

The fourth proportional to 3,126.65, 4,689.29 and 935.55 is: 1,403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.65 : 4,689.29 = 935.55 : x
  2. Step 2: Convert to fraction form
    3,126.65/4,689.29 = 935.55/x
  3. Step 3: Cross multiply
    3,126.65x = 4,689.29 × 935.55
  4. Step 4: Simplify right side
    3,126.65x = 4,387,067.60
  5. Step 5: Solve for x
    x = 4,387,067.60/3,126.65
  6. Step 6: Final answer
    x = 1,403.12

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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.