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Finding the Fourth Proportional to 5,586.78, 7,709.76 and 3,229.32

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Solution

The fourth proportional to 5,586.78, 7,709.76 and 3,229.32 is: 4,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.78 : 7,709.76 = 3,229.32 : x
  2. Step 2: Convert to fraction form
    5,586.78/7,709.76 = 3,229.32/x
  3. Step 3: Cross multiply
    5,586.78x = 7,709.76 × 3,229.32
  4. Step 4: Simplify right side
    5,586.78x = 24,897,282.16
  5. Step 5: Solve for x
    x = 24,897,282.16/5,586.78
  6. Step 6: Final answer
    x = 4,456.46

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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.