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Finding the Fourth Proportional to 3,809.73, 5,256.81 and 2,296.98

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Solution

The fourth proportional to 3,809.73, 5,256.81 and 2,296.98 is: 3,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.73 : 5,256.81 = 2,296.98 : x
  2. Step 2: Convert to fraction form
    3,809.73/5,256.81 = 2,296.98/x
  3. Step 3: Cross multiply
    3,809.73x = 5,256.81 × 2,296.98
  4. Step 4: Simplify right side
    3,809.73x = 12,074,787.43
  5. Step 5: Solve for x
    x = 12,074,787.43/3,809.73
  6. Step 6: Final answer
    x = 3,169.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.