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Finding the Fourth Proportional to 5,709.65, 8,560.33 and 3,856.17

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Solution

The fourth proportional to 5,709.65, 8,560.33 and 3,856.17 is: 5,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.65 : 8,560.33 = 3,856.17 : x
  2. Step 2: Convert to fraction form
    5,709.65/8,560.33 = 3,856.17/x
  3. Step 3: Cross multiply
    5,709.65x = 8,560.33 × 3,856.17
  4. Step 4: Simplify right side
    5,709.65x = 33,010,087.74
  5. Step 5: Solve for x
    x = 33,010,087.74/5,709.65
  6. Step 6: Final answer
    x = 5,781.46

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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.