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Finding the Fourth Proportional to 4,141, 6,202.78 and 2,581.76

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Solution

The fourth proportional to 4,141, 6,202.78 and 2,581.76 is: 3,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141 : 6,202.78 = 2,581.76 : x
  2. Step 2: Convert to fraction form
    4,141/6,202.78 = 2,581.76/x
  3. Step 3: Cross multiply
    4,141x = 6,202.78 × 2,581.76
  4. Step 4: Simplify right side
    4,141x = 16,014,089.29
  5. Step 5: Solve for x
    x = 16,014,089.29/4,141
  6. Step 6: Final answer
    x = 3,867.20

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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.