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Finding the Fourth Proportional to 3,880.76, 5,818.75 and 2,034.11

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Solution

The fourth proportional to 3,880.76, 5,818.75 and 2,034.11 is: 3,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.76 : 5,818.75 = 2,034.11 : x
  2. Step 2: Convert to fraction form
    3,880.76/5,818.75 = 2,034.11/x
  3. Step 3: Cross multiply
    3,880.76x = 5,818.75 × 2,034.11
  4. Step 4: Simplify right side
    3,880.76x = 11,835,987.02
  5. Step 5: Solve for x
    x = 11,835,987.02/3,880.76
  6. Step 6: Final answer
    x = 3,049.92

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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.