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Finding the Fourth Proportional to 3,729.26, 5,590.65 and 1,878.82

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Solution

The fourth proportional to 3,729.26, 5,590.65 and 1,878.82 is: 2,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.26 : 5,590.65 = 1,878.82 : x
  2. Step 2: Convert to fraction form
    3,729.26/5,590.65 = 1,878.82/x
  3. Step 3: Cross multiply
    3,729.26x = 5,590.65 × 1,878.82
  4. Step 4: Simplify right side
    3,729.26x = 10,503,825.03
  5. Step 5: Solve for x
    x = 10,503,825.03/3,729.26
  6. Step 6: Final answer
    x = 2,816.60

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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.