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Finding the Fourth Proportional to 5,776.65, 7,972.14 and 3,257.84

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Solution

The fourth proportional to 5,776.65, 7,972.14 and 3,257.84 is: 4,496.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.65 : 7,972.14 = 3,257.84 : x
  2. Step 2: Convert to fraction form
    5,776.65/7,972.14 = 3,257.84/x
  3. Step 3: Cross multiply
    5,776.65x = 7,972.14 × 3,257.84
  4. Step 4: Simplify right side
    5,776.65x = 25,971,926.68
  5. Step 5: Solve for x
    x = 25,971,926.68/5,776.65
  6. Step 6: Final answer
    x = 4,496.02

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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.