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Finding the Fourth Proportional to 3,267.57, 4,893.15 and 2,537.66

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Solution

The fourth proportional to 3,267.57, 4,893.15 and 2,537.66 is: 3,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.57 : 4,893.15 = 2,537.66 : x
  2. Step 2: Convert to fraction form
    3,267.57/4,893.15 = 2,537.66/x
  3. Step 3: Cross multiply
    3,267.57x = 4,893.15 × 2,537.66
  4. Step 4: Simplify right side
    3,267.57x = 12,417,151.03
  5. Step 5: Solve for x
    x = 12,417,151.03/3,267.57
  6. Step 6: Final answer
    x = 3,800.12

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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.