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Finding the Fourth Proportional to 3,772.26, 5,658.40 and 1,036.26

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Solution

The fourth proportional to 3,772.26, 5,658.40 and 1,036.26 is: 1,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.26 : 5,658.40 = 1,036.26 : x
  2. Step 2: Convert to fraction form
    3,772.26/5,658.40 = 1,036.26/x
  3. Step 3: Cross multiply
    3,772.26x = 5,658.40 × 1,036.26
  4. Step 4: Simplify right side
    3,772.26x = 5,863,573.58
  5. Step 5: Solve for x
    x = 5,863,573.58/3,772.26
  6. Step 6: Final answer
    x = 1,554.39

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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.