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Finding the Fourth Proportional to 3,294.38, 4,546.39 and 1,897.58

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Solution

The fourth proportional to 3,294.38, 4,546.39 and 1,897.58 is: 2,618.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.38 : 4,546.39 = 1,897.58 : x
  2. Step 2: Convert to fraction form
    3,294.38/4,546.39 = 1,897.58/x
  3. Step 3: Cross multiply
    3,294.38x = 4,546.39 × 1,897.58
  4. Step 4: Simplify right side
    3,294.38x = 8,627,138.74
  5. Step 5: Solve for x
    x = 8,627,138.74/3,294.38
  6. Step 6: Final answer
    x = 2,618.74

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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.