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Finding the Fourth Proportional to 5,765.91, 7,956.81 and 3,247.98

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Solution

The fourth proportional to 5,765.91, 7,956.81 and 3,247.98 is: 4,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.91 : 7,956.81 = 3,247.98 : x
  2. Step 2: Convert to fraction form
    5,765.91/7,956.81 = 3,247.98/x
  3. Step 3: Cross multiply
    5,765.91x = 7,956.81 × 3,247.98
  4. Step 4: Simplify right side
    5,765.91x = 25,843,559.74
  5. Step 5: Solve for x
    x = 25,843,559.74/5,765.91
  6. Step 6: Final answer
    x = 4,482.13

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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.