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Finding the Fourth Proportional to 3,754.22, 5,180.68 and 2,075.76

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Solution

The fourth proportional to 3,754.22, 5,180.68 and 2,075.76 is: 2,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.22 : 5,180.68 = 2,075.76 : x
  2. Step 2: Convert to fraction form
    3,754.22/5,180.68 = 2,075.76/x
  3. Step 3: Cross multiply
    3,754.22x = 5,180.68 × 2,075.76
  4. Step 4: Simplify right side
    3,754.22x = 10,753,848.32
  5. Step 5: Solve for x
    x = 10,753,848.32/3,754.22
  6. Step 6: Final answer
    x = 2,864.47

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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.