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Finding the Fourth Proportional to 5,897.38, 8,138.40 and 3,244.95

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Solution

The fourth proportional to 5,897.38, 8,138.40 and 3,244.95 is: 4,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.38 : 8,138.40 = 3,244.95 : x
  2. Step 2: Convert to fraction form
    5,897.38/8,138.40 = 3,244.95/x
  3. Step 3: Cross multiply
    5,897.38x = 8,138.40 × 3,244.95
  4. Step 4: Simplify right side
    5,897.38x = 26,408,701.08
  5. Step 5: Solve for x
    x = 26,408,701.08/5,897.38
  6. Step 6: Final answer
    x = 4,478.04

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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.