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Finding the Fourth Proportional to 3,948.33, 5,908.80 and 2,854.83

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Solution

The fourth proportional to 3,948.33, 5,908.80 and 2,854.83 is: 4,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.33 : 5,908.80 = 2,854.83 : x
  2. Step 2: Convert to fraction form
    3,948.33/5,908.80 = 2,854.83/x
  3. Step 3: Cross multiply
    3,948.33x = 5,908.80 × 2,854.83
  4. Step 4: Simplify right side
    3,948.33x = 16,868,619.50
  5. Step 5: Solve for x
    x = 16,868,619.50/3,948.33
  6. Step 6: Final answer
    x = 4,272.34

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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.