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Finding the Fourth Proportional to 3,768.35, 5,195.22 and 3,177.86

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Solution

The fourth proportional to 3,768.35, 5,195.22 and 3,177.86 is: 4,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.35 : 5,195.22 = 3,177.86 : x
  2. Step 2: Convert to fraction form
    3,768.35/5,195.22 = 3,177.86/x
  3. Step 3: Cross multiply
    3,768.35x = 5,195.22 × 3,177.86
  4. Step 4: Simplify right side
    3,768.35x = 16,509,681.83
  5. Step 5: Solve for x
    x = 16,509,681.83/3,768.35
  6. Step 6: Final answer
    x = 4,381.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.