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Finding the Fourth Proportional to 5,776.21, 7,971.17 and 3,123.62

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Solution

The fourth proportional to 5,776.21, 7,971.17 and 3,123.62 is: 4,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.21 : 7,971.17 = 3,123.62 : x
  2. Step 2: Convert to fraction form
    5,776.21/7,971.17 = 3,123.62/x
  3. Step 3: Cross multiply
    5,776.21x = 7,971.17 × 3,123.62
  4. Step 4: Simplify right side
    5,776.21x = 24,898,873.99
  5. Step 5: Solve for x
    x = 24,898,873.99/5,776.21
  6. Step 6: Final answer
    x = 4,310.59

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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.