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Finding the Fourth Proportional to 5,778.69, 8,669.12 and 2,316.21

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Solution

The fourth proportional to 5,778.69, 8,669.12 and 2,316.21 is: 3,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.69 : 8,669.12 = 2,316.21 : x
  2. Step 2: Convert to fraction form
    5,778.69/8,669.12 = 2,316.21/x
  3. Step 3: Cross multiply
    5,778.69x = 8,669.12 × 2,316.21
  4. Step 4: Simplify right side
    5,778.69x = 20,079,502.44
  5. Step 5: Solve for x
    x = 20,079,502.44/5,778.69
  6. Step 6: Final answer
    x = 3,474.75

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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.