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Finding the Fourth Proportional to 6,141.48, 9,205.80 and 2,851.84

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Solution

The fourth proportional to 6,141.48, 9,205.80 and 2,851.84 is: 4,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.48 : 9,205.80 = 2,851.84 : x
  2. Step 2: Convert to fraction form
    6,141.48/9,205.80 = 2,851.84/x
  3. Step 3: Cross multiply
    6,141.48x = 9,205.80 × 2,851.84
  4. Step 4: Simplify right side
    6,141.48x = 26,253,468.67
  5. Step 5: Solve for x
    x = 26,253,468.67/6,141.48
  6. Step 6: Final answer
    x = 4,274.78

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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.