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Finding the Fourth Proportional to 4,064.38, 5,607.23 and 2,738.95

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Solution

The fourth proportional to 4,064.38, 5,607.23 and 2,738.95 is: 3,778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064.38 : 5,607.23 = 2,738.95 : x
  2. Step 2: Convert to fraction form
    4,064.38/5,607.23 = 2,738.95/x
  3. Step 3: Cross multiply
    4,064.38x = 5,607.23 × 2,738.95
  4. Step 4: Simplify right side
    4,064.38x = 15,357,894.90
  5. Step 5: Solve for x
    x = 15,357,894.90/4,064.38
  6. Step 6: Final answer
    x = 3,778.66

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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.