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Finding the Fourth Proportional to 3,511.79, 4,842.34 and 2,871.74

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Solution

The fourth proportional to 3,511.79, 4,842.34 and 2,871.74 is: 3,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.79 : 4,842.34 = 2,871.74 : x
  2. Step 2: Convert to fraction form
    3,511.79/4,842.34 = 2,871.74/x
  3. Step 3: Cross multiply
    3,511.79x = 4,842.34 × 2,871.74
  4. Step 4: Simplify right side
    3,511.79x = 13,905,927.11
  5. Step 5: Solve for x
    x = 13,905,927.11/3,511.79
  6. Step 6: Final answer
    x = 3,959.78

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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.