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Finding the Fourth Proportional to 5,897.34, 8,841.51 and 3,819.42

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Solution

The fourth proportional to 5,897.34, 8,841.51 and 3,819.42 is: 5,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.34 : 8,841.51 = 3,819.42 : x
  2. Step 2: Convert to fraction form
    5,897.34/8,841.51 = 3,819.42/x
  3. Step 3: Cross multiply
    5,897.34x = 8,841.51 × 3,819.42
  4. Step 4: Simplify right side
    5,897.34x = 33,769,440.12
  5. Step 5: Solve for x
    x = 33,769,440.12/5,897.34
  6. Step 6: Final answer
    x = 5,726.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.