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Finding the Fourth Proportional to 5,232.57, 7,221 and 2,842.56

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Solution

The fourth proportional to 5,232.57, 7,221 and 2,842.56 is: 3,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.57 : 7,221 = 2,842.56 : x
  2. Step 2: Convert to fraction form
    5,232.57/7,221 = 2,842.56/x
  3. Step 3: Cross multiply
    5,232.57x = 7,221 × 2,842.56
  4. Step 4: Simplify right side
    5,232.57x = 20,526,125.76
  5. Step 5: Solve for x
    x = 20,526,125.76/5,232.57
  6. Step 6: Final answer
    x = 3,922.76

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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.