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Finding the Fourth Proportional to 3,427.74, 5,141.16 and 1,478.34

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Solution

The fourth proportional to 3,427.74, 5,141.16 and 1,478.34 is: 2,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.74 : 5,141.16 = 1,478.34 : x
  2. Step 2: Convert to fraction form
    3,427.74/5,141.16 = 1,478.34/x
  3. Step 3: Cross multiply
    3,427.74x = 5,141.16 × 1,478.34
  4. Step 4: Simplify right side
    3,427.74x = 7,600,382.47
  5. Step 5: Solve for x
    x = 7,600,382.47/3,427.74
  6. Step 6: Final answer
    x = 2,217.32

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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.