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Finding the Fourth Proportional to 3,894.71, 5,368.34 and 2,713.73

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Solution

The fourth proportional to 3,894.71, 5,368.34 and 2,713.73 is: 3,740.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.71 : 5,368.34 = 2,713.73 : x
  2. Step 2: Convert to fraction form
    3,894.71/5,368.34 = 2,713.73/x
  3. Step 3: Cross multiply
    3,894.71x = 5,368.34 × 2,713.73
  4. Step 4: Simplify right side
    3,894.71x = 14,568,205.25
  5. Step 5: Solve for x
    x = 14,568,205.25/3,894.71
  6. Step 6: Final answer
    x = 3,740.52

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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.