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Finding the Fourth Proportional to 3,656.82, 5,046.39 and 2,084.88

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Solution

The fourth proportional to 3,656.82, 5,046.39 and 2,084.88 is: 2,877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.82 : 5,046.39 = 2,084.88 : x
  2. Step 2: Convert to fraction form
    3,656.82/5,046.39 = 2,084.88/x
  3. Step 3: Cross multiply
    3,656.82x = 5,046.39 × 2,084.88
  4. Step 4: Simplify right side
    3,656.82x = 10,521,117.58
  5. Step 5: Solve for x
    x = 10,521,117.58/3,656.82
  6. Step 6: Final answer
    x = 2,877.12

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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.