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Finding the Fourth Proportional to 3,876.84, 5,350.32 and 2,283.57

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Solution

The fourth proportional to 3,876.84, 5,350.32 and 2,283.57 is: 3,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.84 : 5,350.32 = 2,283.57 : x
  2. Step 2: Convert to fraction form
    3,876.84/5,350.32 = 2,283.57/x
  3. Step 3: Cross multiply
    3,876.84x = 5,350.32 × 2,283.57
  4. Step 4: Simplify right side
    3,876.84x = 12,217,830.24
  5. Step 5: Solve for x
    x = 12,217,830.24/3,876.84
  6. Step 6: Final answer
    x = 3,151.49

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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.