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Finding the Fourth Proportional to 3,728.26, 5,590.86 and 1,388.42

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Solution

The fourth proportional to 3,728.26, 5,590.86 and 1,388.42 is: 2,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.26 : 5,590.86 = 1,388.42 : x
  2. Step 2: Convert to fraction form
    3,728.26/5,590.86 = 1,388.42/x
  3. Step 3: Cross multiply
    3,728.26x = 5,590.86 × 1,388.42
  4. Step 4: Simplify right side
    3,728.26x = 7,762,461.84
  5. Step 5: Solve for x
    x = 7,762,461.84/3,728.26
  6. Step 6: Final answer
    x = 2,082.06

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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.