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Finding the Fourth Proportional to 3,207.84, 4,424.52 and 2,086.68

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Solution

The fourth proportional to 3,207.84, 4,424.52 and 2,086.68 is: 2,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.84 : 4,424.52 = 2,086.68 : x
  2. Step 2: Convert to fraction form
    3,207.84/4,424.52 = 2,086.68/x
  3. Step 3: Cross multiply
    3,207.84x = 4,424.52 × 2,086.68
  4. Step 4: Simplify right side
    3,207.84x = 9,232,557.39
  5. Step 5: Solve for x
    x = 9,232,557.39/3,207.84
  6. Step 6: Final answer
    x = 2,878.12

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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.