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Finding the Fourth Proportional to 3,057.40, 4,242.28 and 2,934

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Solution

The fourth proportional to 3,057.40, 4,242.28 and 2,934 is: 4,071.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.40 : 4,242.28 = 2,934 : x
  2. Step 2: Convert to fraction form
    3,057.40/4,242.28 = 2,934/x
  3. Step 3: Cross multiply
    3,057.40x = 4,242.28 × 2,934
  4. Step 4: Simplify right side
    3,057.40x = 12,446,849.52
  5. Step 5: Solve for x
    x = 12,446,849.52/3,057.40
  6. Step 6: Final answer
    x = 4,071.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.