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Finding the Fourth Proportional to 3,453.87, 4,764.71 and 2,335.20

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Solution

The fourth proportional to 3,453.87, 4,764.71 and 2,335.20 is: 3,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.87 : 4,764.71 = 2,335.20 : x
  2. Step 2: Convert to fraction form
    3,453.87/4,764.71 = 2,335.20/x
  3. Step 3: Cross multiply
    3,453.87x = 4,764.71 × 2,335.20
  4. Step 4: Simplify right side
    3,453.87x = 11,126,515.29
  5. Step 5: Solve for x
    x = 11,126,515.29/3,453.87
  6. Step 6: Final answer
    x = 3,221.46

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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.