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Finding the Fourth Proportional to 3,682.95, 5,080.49 and 2,561.94

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Solution

The fourth proportional to 3,682.95, 5,080.49 and 2,561.94 is: 3,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.95 : 5,080.49 = 2,561.94 : x
  2. Step 2: Convert to fraction form
    3,682.95/5,080.49 = 2,561.94/x
  3. Step 3: Cross multiply
    3,682.95x = 5,080.49 × 2,561.94
  4. Step 4: Simplify right side
    3,682.95x = 13,015,888.30
  5. Step 5: Solve for x
    x = 13,015,888.30/3,682.95
  6. Step 6: Final answer
    x = 3,534.10

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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.