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Finding the Fourth Proportional to 5,709.77, 8,565.23 and 1,549.85

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Solution

The fourth proportional to 5,709.77, 8,565.23 and 1,549.85 is: 2,324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.77 : 8,565.23 = 1,549.85 : x
  2. Step 2: Convert to fraction form
    5,709.77/8,565.23 = 1,549.85/x
  3. Step 3: Cross multiply
    5,709.77x = 8,565.23 × 1,549.85
  4. Step 4: Simplify right side
    5,709.77x = 13,274,771.14
  5. Step 5: Solve for x
    x = 13,274,771.14/5,709.77
  6. Step 6: Final answer
    x = 2,324.92

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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.