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Finding the Fourth Proportional to 5,773.70, 8,678.60 and 3,811.93

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Solution

The fourth proportional to 5,773.70, 8,678.60 and 3,811.93 is: 5,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.70 : 8,678.60 = 3,811.93 : x
  2. Step 2: Convert to fraction form
    5,773.70/8,678.60 = 3,811.93/x
  3. Step 3: Cross multiply
    5,773.70x = 8,678.60 × 3,811.93
  4. Step 4: Simplify right side
    5,773.70x = 33,082,237.39
  5. Step 5: Solve for x
    x = 33,082,237.39/5,773.70
  6. Step 6: Final answer
    x = 5,729.82

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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.