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Finding the Fourth Proportional to 3,787.12, 5,223.25 and 2,461.25

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Solution

The fourth proportional to 3,787.12, 5,223.25 and 2,461.25 is: 3,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.12 : 5,223.25 = 2,461.25 : x
  2. Step 2: Convert to fraction form
    3,787.12/5,223.25 = 2,461.25/x
  3. Step 3: Cross multiply
    3,787.12x = 5,223.25 × 2,461.25
  4. Step 4: Simplify right side
    3,787.12x = 12,855,724.06
  5. Step 5: Solve for x
    x = 12,855,724.06/3,787.12
  6. Step 6: Final answer
    x = 3,394.59

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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.