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Finding the Fourth Proportional to 3,876.54, 5,351 and 2,304.63

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Solution

The fourth proportional to 3,876.54, 5,351 and 2,304.63 is: 3,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.54 : 5,351 = 2,304.63 : x
  2. Step 2: Convert to fraction form
    3,876.54/5,351 = 2,304.63/x
  3. Step 3: Cross multiply
    3,876.54x = 5,351 × 2,304.63
  4. Step 4: Simplify right side
    3,876.54x = 12,332,075.13
  5. Step 5: Solve for x
    x = 12,332,075.13/3,876.54
  6. Step 6: Final answer
    x = 3,181.21

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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.