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Finding the Fourth Proportional to 3,886.74, 5,363.46 and 2,208.20

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Solution

The fourth proportional to 3,886.74, 5,363.46 and 2,208.20 is: 3,047.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.74 : 5,363.46 = 2,208.20 : x
  2. Step 2: Convert to fraction form
    3,886.74/5,363.46 = 2,208.20/x
  3. Step 3: Cross multiply
    3,886.74x = 5,363.46 × 2,208.20
  4. Step 4: Simplify right side
    3,886.74x = 11,843,565.55
  5. Step 5: Solve for x
    x = 11,843,565.55/3,886.74
  6. Step 6: Final answer
    x = 3,047.17

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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.