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Finding the Fourth Proportional to 3,733.26, 5,598.64 and 1,511.52

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Solution

The fourth proportional to 3,733.26, 5,598.64 and 1,511.52 is: 2,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.26 : 5,598.64 = 1,511.52 : x
  2. Step 2: Convert to fraction form
    3,733.26/5,598.64 = 1,511.52/x
  3. Step 3: Cross multiply
    3,733.26x = 5,598.64 × 1,511.52
  4. Step 4: Simplify right side
    3,733.26x = 8,462,456.33
  5. Step 5: Solve for x
    x = 8,462,456.33/3,733.26
  6. Step 6: Final answer
    x = 2,266.77

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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.