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Finding the Fourth Proportional to 4,086.84, 5,639.85 and 2,223.84

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Solution

The fourth proportional to 4,086.84, 5,639.85 and 2,223.84 is: 3,068.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.84 : 5,639.85 = 2,223.84 : x
  2. Step 2: Convert to fraction form
    4,086.84/5,639.85 = 2,223.84/x
  3. Step 3: Cross multiply
    4,086.84x = 5,639.85 × 2,223.84
  4. Step 4: Simplify right side
    4,086.84x = 12,542,145.17
  5. Step 5: Solve for x
    x = 12,542,145.17/4,086.84
  6. Step 6: Final answer
    x = 3,068.91

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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.