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Finding the Fourth Proportional to 3,809.52, 5,256.88 and 2,237.52

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Solution

The fourth proportional to 3,809.52, 5,256.88 and 2,237.52 is: 3,087.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.52 : 5,256.88 = 2,237.52 : x
  2. Step 2: Convert to fraction form
    3,809.52/5,256.88 = 2,237.52/x
  3. Step 3: Cross multiply
    3,809.52x = 5,256.88 × 2,237.52
  4. Step 4: Simplify right side
    3,809.52x = 11,762,374.14
  5. Step 5: Solve for x
    x = 11,762,374.14/3,809.52
  6. Step 6: Final answer
    x = 3,087.63

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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.