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Finding the Fourth Proportional to 5,897.39, 8,138.43 and 3,244.73

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Solution

The fourth proportional to 5,897.39, 8,138.43 and 3,244.73 is: 4,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.39 : 8,138.43 = 3,244.73 : x
  2. Step 2: Convert to fraction form
    5,897.39/8,138.43 = 3,244.73/x
  3. Step 3: Cross multiply
    5,897.39x = 8,138.43 × 3,244.73
  4. Step 4: Simplify right side
    5,897.39x = 26,406,967.28
  5. Step 5: Solve for x
    x = 26,406,967.28/5,897.39
  6. Step 6: Final answer
    x = 4,477.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.