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Finding the Fourth Proportional to 3,765.35, 5,191.08 and 3,174.86

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Solution

The fourth proportional to 3,765.35, 5,191.08 and 3,174.86 is: 4,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.35 : 5,191.08 = 3,174.86 : x
  2. Step 2: Convert to fraction form
    3,765.35/5,191.08 = 3,174.86/x
  3. Step 3: Cross multiply
    3,765.35x = 5,191.08 × 3,174.86
  4. Step 4: Simplify right side
    3,765.35x = 16,480,952.25
  5. Step 5: Solve for x
    x = 16,480,952.25/3,765.35
  6. Step 6: Final answer
    x = 4,377.00

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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.