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Finding the Fourth Proportional to 4,481.61, 6,703.76 and 4,149.48

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Solution

The fourth proportional to 4,481.61, 6,703.76 and 4,149.48 is: 6,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,481.61 : 6,703.76 = 4,149.48 : x
  2. Step 2: Convert to fraction form
    4,481.61/6,703.76 = 4,149.48/x
  3. Step 3: Cross multiply
    4,481.61x = 6,703.76 × 4,149.48
  4. Step 4: Simplify right side
    4,481.61x = 27,817,128.42
  5. Step 5: Solve for x
    x = 27,817,128.42/4,481.61
  6. Step 6: Final answer
    x = 6,206.95

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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.