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Finding the Fourth Proportional to 3,898.32, 5,378.76 and 2,219.76

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Solution

The fourth proportional to 3,898.32, 5,378.76 and 2,219.76 is: 3,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.32 : 5,378.76 = 2,219.76 : x
  2. Step 2: Convert to fraction form
    3,898.32/5,378.76 = 2,219.76/x
  3. Step 3: Cross multiply
    3,898.32x = 5,378.76 × 2,219.76
  4. Step 4: Simplify right side
    3,898.32x = 11,939,556.30
  5. Step 5: Solve for x
    x = 11,939,556.30/3,898.32
  6. Step 6: Final answer
    x = 3,062.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.