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Finding the Fourth Proportional to 5,675.76, 7,832.54 and 3,191.76

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Solution

The fourth proportional to 5,675.76, 7,832.54 and 3,191.76 is: 4,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.76 : 7,832.54 = 3,191.76 : x
  2. Step 2: Convert to fraction form
    5,675.76/7,832.54 = 3,191.76/x
  3. Step 3: Cross multiply
    5,675.76x = 7,832.54 × 3,191.76
  4. Step 4: Simplify right side
    5,675.76x = 24,999,587.87
  5. Step 5: Solve for x
    x = 24,999,587.87/5,675.76
  6. Step 6: Final answer
    x = 4,404.62

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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.