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Finding the Fourth Proportional to 5,794.89, 8,670.80 and 3,456.17

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Solution

The fourth proportional to 5,794.89, 8,670.80 and 3,456.17 is: 5,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.89 : 8,670.80 = 3,456.17 : x
  2. Step 2: Convert to fraction form
    5,794.89/8,670.80 = 3,456.17/x
  3. Step 3: Cross multiply
    5,794.89x = 8,670.80 × 3,456.17
  4. Step 4: Simplify right side
    5,794.89x = 29,967,737.20
  5. Step 5: Solve for x
    x = 29,967,737.20/5,794.89
  6. Step 6: Final answer
    x = 5,171.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.