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Finding the Fourth Proportional to 4,481.76, 6,722.64 and 1,886.52

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Solution

The fourth proportional to 4,481.76, 6,722.64 and 1,886.52 is: 2,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,481.76 : 6,722.64 = 1,886.52 : x
  2. Step 2: Convert to fraction form
    4,481.76/6,722.64 = 1,886.52/x
  3. Step 3: Cross multiply
    4,481.76x = 6,722.64 × 1,886.52
  4. Step 4: Simplify right side
    4,481.76x = 12,682,394.81
  5. Step 5: Solve for x
    x = 12,682,394.81/4,481.76
  6. Step 6: Final answer
    x = 2,829.78

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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.