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Finding the Fourth Proportional to 3,948.06, 5,921.02 and 1,867.50

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Solution

The fourth proportional to 3,948.06, 5,921.02 and 1,867.50 is: 2,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.06 : 5,921.02 = 1,867.50 : x
  2. Step 2: Convert to fraction form
    3,948.06/5,921.02 = 1,867.50/x
  3. Step 3: Cross multiply
    3,948.06x = 5,921.02 × 1,867.50
  4. Step 4: Simplify right side
    3,948.06x = 11,057,504.85
  5. Step 5: Solve for x
    x = 11,057,504.85/3,948.06
  6. Step 6: Final answer
    x = 2,800.74

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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.