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Finding the Fourth Proportional to 5,776.25, 7,971.24 and 3,123.67

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Solution

The fourth proportional to 5,776.25, 7,971.24 and 3,123.67 is: 4,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.25 : 7,971.24 = 3,123.67 : x
  2. Step 2: Convert to fraction form
    5,776.25/7,971.24 = 3,123.67/x
  3. Step 3: Cross multiply
    5,776.25x = 7,971.24 × 3,123.67
  4. Step 4: Simplify right side
    5,776.25x = 24,899,535.37
  5. Step 5: Solve for x
    x = 24,899,535.37/5,776.25
  6. Step 6: Final answer
    x = 4,310.68

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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.