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Finding the Fourth Proportional to 5,444.38, 7,512.95 and 3,205.74

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Solution

The fourth proportional to 5,444.38, 7,512.95 and 3,205.74 is: 4,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.38 : 7,512.95 = 3,205.74 : x
  2. Step 2: Convert to fraction form
    5,444.38/7,512.95 = 3,205.74/x
  3. Step 3: Cross multiply
    5,444.38x = 7,512.95 × 3,205.74
  4. Step 4: Simplify right side
    5,444.38x = 24,084,600.52
  5. Step 5: Solve for x
    x = 24,084,600.52/5,444.38
  6. Step 6: Final answer
    x = 4,423.75

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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.