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Finding the Fourth Proportional to 4,381.38, 6,045.77 and 2,493.20

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Solution

The fourth proportional to 4,381.38, 6,045.77 and 2,493.20 is: 3,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.38 : 6,045.77 = 2,493.20 : x
  2. Step 2: Convert to fraction form
    4,381.38/6,045.77 = 2,493.20/x
  3. Step 3: Cross multiply
    4,381.38x = 6,045.77 × 2,493.20
  4. Step 4: Simplify right side
    4,381.38x = 15,073,313.76
  5. Step 5: Solve for x
    x = 15,073,313.76/4,381.38
  6. Step 6: Final answer
    x = 3,440.31

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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.