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Finding the Fourth Proportional to 3,793.41, 5,681.40 and 3,662.08

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Solution

The fourth proportional to 3,793.41, 5,681.40 and 3,662.08 is: 5,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.41 : 5,681.40 = 3,662.08 : x
  2. Step 2: Convert to fraction form
    3,793.41/5,681.40 = 3,662.08/x
  3. Step 3: Cross multiply
    3,793.41x = 5,681.40 × 3,662.08
  4. Step 4: Simplify right side
    3,793.41x = 20,805,727.11
  5. Step 5: Solve for x
    x = 20,805,727.11/3,793.41
  6. Step 6: Final answer
    x = 5,484.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.