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Finding the Fourth Proportional to 3,878.84, 5,349.30 and 2,552.04

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Solution

The fourth proportional to 3,878.84, 5,349.30 and 2,552.04 is: 3,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.84 : 5,349.30 = 2,552.04 : x
  2. Step 2: Convert to fraction form
    3,878.84/5,349.30 = 2,552.04/x
  3. Step 3: Cross multiply
    3,878.84x = 5,349.30 × 2,552.04
  4. Step 4: Simplify right side
    3,878.84x = 13,651,627.57
  5. Step 5: Solve for x
    x = 13,651,627.57/3,878.84
  6. Step 6: Final answer
    x = 3,519.51

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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.