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Finding the Fourth Proportional to 3,086.88, 4,629.49 and 865.59

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Solution

The fourth proportional to 3,086.88, 4,629.49 and 865.59 is: 1,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.88 : 4,629.49 = 865.59 : x
  2. Step 2: Convert to fraction form
    3,086.88/4,629.49 = 865.59/x
  3. Step 3: Cross multiply
    3,086.88x = 4,629.49 × 865.59
  4. Step 4: Simplify right side
    3,086.88x = 4,007,225.59
  5. Step 5: Solve for x
    x = 4,007,225.59/3,086.88
  6. Step 6: Final answer
    x = 1,298.15

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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.