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Finding the Fourth Proportional to 3,469.84, 5,228.16 and 2,867.04

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Solution

The fourth proportional to 3,469.84, 5,228.16 and 2,867.04 is: 4,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.84 : 5,228.16 = 2,867.04 : x
  2. Step 2: Convert to fraction form
    3,469.84/5,228.16 = 2,867.04/x
  3. Step 3: Cross multiply
    3,469.84x = 5,228.16 × 2,867.04
  4. Step 4: Simplify right side
    3,469.84x = 14,989,343.85
  5. Step 5: Solve for x
    x = 14,989,343.85/3,469.84
  6. Step 6: Final answer
    x = 4,319.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.