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Finding the Fourth Proportional to 5,776.22, 7,971.19 and 3,123.63

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Solution

The fourth proportional to 5,776.22, 7,971.19 and 3,123.63 is: 4,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.22 : 7,971.19 = 3,123.63 : x
  2. Step 2: Convert to fraction form
    5,776.22/7,971.19 = 3,123.63/x
  3. Step 3: Cross multiply
    5,776.22x = 7,971.19 × 3,123.63
  4. Step 4: Simplify right side
    5,776.22x = 24,899,040.41
  5. Step 5: Solve for x
    x = 24,899,040.41/5,776.22
  6. Step 6: Final answer
    x = 4,310.61

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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.