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Finding the Fourth Proportional to 5,790.96, 8,669.70 and 5,189.94

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Solution

The fourth proportional to 5,790.96, 8,669.70 and 5,189.94 is: 7,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.96 : 8,669.70 = 5,189.94 : x
  2. Step 2: Convert to fraction form
    5,790.96/8,669.70 = 5,189.94/x
  3. Step 3: Cross multiply
    5,790.96x = 8,669.70 × 5,189.94
  4. Step 4: Simplify right side
    5,790.96x = 44,995,222.82
  5. Step 5: Solve for x
    x = 44,995,222.82/5,790.96
  6. Step 6: Final answer
    x = 7,769.91

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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.