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Finding the Fourth Proportional to 3,728.66, 5,590.40 and 3,147.44

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Solution

The fourth proportional to 3,728.66, 5,590.40 and 3,147.44 is: 4,718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.66 : 5,590.40 = 3,147.44 : x
  2. Step 2: Convert to fraction form
    3,728.66/5,590.40 = 3,147.44/x
  3. Step 3: Cross multiply
    3,728.66x = 5,590.40 × 3,147.44
  4. Step 4: Simplify right side
    3,728.66x = 17,595,420.62
  5. Step 5: Solve for x
    x = 17,595,420.62/3,728.66
  6. Step 6: Final answer
    x = 4,718.97

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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.