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Finding the Fourth Proportional to 3,886.76, 5,825.10 and 2,033.18

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Solution

The fourth proportional to 3,886.76, 5,825.10 and 2,033.18 is: 3,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.76 : 5,825.10 = 2,033.18 : x
  2. Step 2: Convert to fraction form
    3,886.76/5,825.10 = 2,033.18/x
  3. Step 3: Cross multiply
    3,886.76x = 5,825.10 × 2,033.18
  4. Step 4: Simplify right side
    3,886.76x = 11,843,476.82
  5. Step 5: Solve for x
    x = 11,843,476.82/3,886.76
  6. Step 6: Final answer
    x = 3,047.13

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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.