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Finding the Fourth Proportional to 2,927.38, 4,033.05 and 2,789.14

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Solution

The fourth proportional to 2,927.38, 4,033.05 and 2,789.14 is: 3,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.38 : 4,033.05 = 2,789.14 : x
  2. Step 2: Convert to fraction form
    2,927.38/4,033.05 = 2,789.14/x
  3. Step 3: Cross multiply
    2,927.38x = 4,033.05 × 2,789.14
  4. Step 4: Simplify right side
    2,927.38x = 11,248,741.08
  5. Step 5: Solve for x
    x = 11,248,741.08/2,927.38
  6. Step 6: Final answer
    x = 3,842.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.