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Finding the Fourth Proportional to 3,782.26, 5,672.28 and 1,590.94

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Solution

The fourth proportional to 3,782.26, 5,672.28 and 1,590.94 is: 2,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.26 : 5,672.28 = 1,590.94 : x
  2. Step 2: Convert to fraction form
    3,782.26/5,672.28 = 1,590.94/x
  3. Step 3: Cross multiply
    3,782.26x = 5,672.28 × 1,590.94
  4. Step 4: Simplify right side
    3,782.26x = 9,024,257.14
  5. Step 5: Solve for x
    x = 9,024,257.14/3,782.26
  6. Step 6: Final answer
    x = 2,385.94

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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.