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Finding the Fourth Proportional to 3,886.84, 5,355.87 and 3,677.45

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Solution

The fourth proportional to 3,886.84, 5,355.87 and 3,677.45 is: 5,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.84 : 5,355.87 = 3,677.45 : x
  2. Step 2: Convert to fraction form
    3,886.84/5,355.87 = 3,677.45/x
  3. Step 3: Cross multiply
    3,886.84x = 5,355.87 × 3,677.45
  4. Step 4: Simplify right side
    3,886.84x = 19,695,954.37
  5. Step 5: Solve for x
    x = 19,695,954.37/3,886.84
  6. Step 6: Final answer
    x = 5,067.35

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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.