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Finding the Fourth Proportional to 3,057.14, 4,585.95 and 865.89

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Solution

The fourth proportional to 3,057.14, 4,585.95 and 865.89 is: 1,298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.14 : 4,585.95 = 865.89 : x
  2. Step 2: Convert to fraction form
    3,057.14/4,585.95 = 865.89/x
  3. Step 3: Cross multiply
    3,057.14x = 4,585.95 × 865.89
  4. Step 4: Simplify right side
    3,057.14x = 3,970,928.25
  5. Step 5: Solve for x
    x = 3,970,928.25/3,057.14
  6. Step 6: Final answer
    x = 1,298.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.