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Finding the Fourth Proportional to 3,682.68, 5,075.10 and 2,632.92

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Solution

The fourth proportional to 3,682.68, 5,075.10 and 2,632.92 is: 3,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.68 : 5,075.10 = 2,632.92 : x
  2. Step 2: Convert to fraction form
    3,682.68/5,075.10 = 2,632.92/x
  3. Step 3: Cross multiply
    3,682.68x = 5,075.10 × 2,632.92
  4. Step 4: Simplify right side
    3,682.68x = 13,362,332.29
  5. Step 5: Solve for x
    x = 13,362,332.29/3,682.68
  6. Step 6: Final answer
    x = 3,628.43

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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.