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Finding the Fourth Proportional to 3,677.72, 5,075.26 and 2,352.83

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Solution

The fourth proportional to 3,677.72, 5,075.26 and 2,352.83 is: 3,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.72 : 5,075.26 = 2,352.83 : x
  2. Step 2: Convert to fraction form
    3,677.72/5,075.26 = 2,352.83/x
  3. Step 3: Cross multiply
    3,677.72x = 5,075.26 × 2,352.83
  4. Step 4: Simplify right side
    3,677.72x = 11,941,192.73
  5. Step 5: Solve for x
    x = 11,941,192.73/3,677.72
  6. Step 6: Final answer
    x = 3,246.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.