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Finding the Fourth Proportional to 3,894.11, 5,373.20 and 3,697.08

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Solution

The fourth proportional to 3,894.11, 5,373.20 and 3,697.08 is: 5,101.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.11 : 5,373.20 = 3,697.08 : x
  2. Step 2: Convert to fraction form
    3,894.11/5,373.20 = 3,697.08/x
  3. Step 3: Cross multiply
    3,894.11x = 5,373.20 × 3,697.08
  4. Step 4: Simplify right side
    3,894.11x = 19,865,139.35
  5. Step 5: Solve for x
    x = 19,865,139.35/3,894.11
  6. Step 6: Final answer
    x = 5,101.33

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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.