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Finding the Fourth Proportional to 5,894.35, 8,132.16 and 3,771.12

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Solution

The fourth proportional to 5,894.35, 8,132.16 and 3,771.12 is: 5,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.35 : 8,132.16 = 3,771.12 : x
  2. Step 2: Convert to fraction form
    5,894.35/8,132.16 = 3,771.12/x
  3. Step 3: Cross multiply
    5,894.35x = 8,132.16 × 3,771.12
  4. Step 4: Simplify right side
    5,894.35x = 30,667,395.86
  5. Step 5: Solve for x
    x = 30,667,395.86/5,894.35
  6. Step 6: Final answer
    x = 5,202.84

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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.