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Finding the Fourth Proportional to 6,519.97, 9,780.98 and 2,359.54

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Solution

The fourth proportional to 6,519.97, 9,780.98 and 2,359.54 is: 3,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.97 : 9,780.98 = 2,359.54 : x
  2. Step 2: Convert to fraction form
    6,519.97/9,780.98 = 2,359.54/x
  3. Step 3: Cross multiply
    6,519.97x = 9,780.98 × 2,359.54
  4. Step 4: Simplify right side
    6,519.97x = 23,078,613.55
  5. Step 5: Solve for x
    x = 23,078,613.55/6,519.97
  6. Step 6: Final answer
    x = 3,539.68

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