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Finding the Fourth Proportional to 3,511.96, 5,266.62 and 1,537.52

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Solution

The fourth proportional to 3,511.96, 5,266.62 and 1,537.52 is: 2,305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.96 : 5,266.62 = 1,537.52 : x
  2. Step 2: Convert to fraction form
    3,511.96/5,266.62 = 1,537.52/x
  3. Step 3: Cross multiply
    3,511.96x = 5,266.62 × 1,537.52
  4. Step 4: Simplify right side
    3,511.96x = 8,097,507.25
  5. Step 5: Solve for x
    x = 8,097,507.25/3,511.96
  6. Step 6: Final answer
    x = 2,305.70

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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.