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Finding the Fourth Proportional to 3,754.05, 5,180.58 and 2,075.58

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Solution

The fourth proportional to 3,754.05, 5,180.58 and 2,075.58 is: 2,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.05 : 5,180.58 = 2,075.58 : x
  2. Step 2: Convert to fraction form
    3,754.05/5,180.58 = 2,075.58/x
  3. Step 3: Cross multiply
    3,754.05x = 5,180.58 × 2,075.58
  4. Step 4: Simplify right side
    3,754.05x = 10,752,708.24
  5. Step 5: Solve for x
    x = 10,752,708.24/3,754.05
  6. Step 6: Final answer
    x = 2,864.30

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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.