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Finding the Fourth Proportional to 5,722.39, 7,894.65 and 3,732.22

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Solution

The fourth proportional to 5,722.39, 7,894.65 and 3,732.22 is: 5,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.39 : 7,894.65 = 3,732.22 : x
  2. Step 2: Convert to fraction form
    5,722.39/7,894.65 = 3,732.22/x
  3. Step 3: Cross multiply
    5,722.39x = 7,894.65 × 3,732.22
  4. Step 4: Simplify right side
    5,722.39x = 29,464,570.62
  5. Step 5: Solve for x
    x = 29,464,570.62/5,722.39
  6. Step 6: Final answer
    x = 5,149.00

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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.