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Finding the Fourth Proportional to 3,787.36, 5,223.60 and 2,461.50

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Solution

The fourth proportional to 3,787.36, 5,223.60 and 2,461.50 is: 3,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.36 : 5,223.60 = 2,461.50 : x
  2. Step 2: Convert to fraction form
    3,787.36/5,223.60 = 2,461.50/x
  3. Step 3: Cross multiply
    3,787.36x = 5,223.60 × 2,461.50
  4. Step 4: Simplify right side
    3,787.36x = 12,857,865.28
  5. Step 5: Solve for x
    x = 12,857,865.28/3,787.36
  6. Step 6: Final answer
    x = 3,394.94

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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.