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Finding the Fourth Proportional to 3,788.40, 5,212.44 and 3,700.92

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Solution

The fourth proportional to 3,788.40, 5,212.44 and 3,700.92 is: 5,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.40 : 5,212.44 = 3,700.92 : x
  2. Step 2: Convert to fraction form
    3,788.40/5,212.44 = 3,700.92/x
  3. Step 3: Cross multiply
    3,788.40x = 5,212.44 × 3,700.92
  4. Step 4: Simplify right side
    3,788.40x = 19,290,823.44
  5. Step 5: Solve for x
    x = 19,290,823.44/3,788.40
  6. Step 6: Final answer
    x = 5,092.08

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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.