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Finding the Fourth Proportional to 3,876.35, 5,836.46 and 3,417.08

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Solution

The fourth proportional to 3,876.35, 5,836.46 and 3,417.08 is: 5,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.35 : 5,836.46 = 3,417.08 : x
  2. Step 2: Convert to fraction form
    3,876.35/5,836.46 = 3,417.08/x
  3. Step 3: Cross multiply
    3,876.35x = 5,836.46 × 3,417.08
  4. Step 4: Simplify right side
    3,876.35x = 19,943,604.47
  5. Step 5: Solve for x
    x = 19,943,604.47/3,876.35
  6. Step 6: Final answer
    x = 5,144.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.