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Finding the Fourth Proportional to 4,071.84, 6,107.40 and 2,223.78

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Solution

The fourth proportional to 4,071.84, 6,107.40 and 2,223.78 is: 3,335.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.84 : 6,107.40 = 2,223.78 : x
  2. Step 2: Convert to fraction form
    4,071.84/6,107.40 = 2,223.78/x
  3. Step 3: Cross multiply
    4,071.84x = 6,107.40 × 2,223.78
  4. Step 4: Simplify right side
    4,071.84x = 13,581,513.97
  5. Step 5: Solve for x
    x = 13,581,513.97/4,071.84
  6. Step 6: Final answer
    x = 3,335.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.