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Finding the Fourth Proportional to 5,868.65, 8,811.38 and 5,146.94

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Solution

The fourth proportional to 5,868.65, 8,811.38 and 5,146.94 is: 7,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.65 : 8,811.38 = 5,146.94 : x
  2. Step 2: Convert to fraction form
    5,868.65/8,811.38 = 5,146.94/x
  3. Step 3: Cross multiply
    5,868.65x = 8,811.38 × 5,146.94
  4. Step 4: Simplify right side
    5,868.65x = 45,351,679.07
  5. Step 5: Solve for x
    x = 45,351,679.07/5,868.65
  6. Step 6: Final answer
    x = 7,727.78

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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.