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Finding the Fourth Proportional to 4,380.84, 6,542.37 and 3,897

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Solution

The fourth proportional to 4,380.84, 6,542.37 and 3,897 is: 5,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380.84 : 6,542.37 = 3,897 : x
  2. Step 2: Convert to fraction form
    4,380.84/6,542.37 = 3,897/x
  3. Step 3: Cross multiply
    4,380.84x = 6,542.37 × 3,897
  4. Step 4: Simplify right side
    4,380.84x = 25,495,615.89
  5. Step 5: Solve for x
    x = 25,495,615.89/4,380.84
  6. Step 6: Final answer
    x = 5,819.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.