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Finding the Fourth Proportional to 3,754.58, 5,181.02 and 2,075.99

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Solution

The fourth proportional to 3,754.58, 5,181.02 and 2,075.99 is: 2,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.58 : 5,181.02 = 2,075.99 : x
  2. Step 2: Convert to fraction form
    3,754.58/5,181.02 = 2,075.99/x
  3. Step 3: Cross multiply
    3,754.58x = 5,181.02 × 2,075.99
  4. Step 4: Simplify right side
    3,754.58x = 10,755,745.71
  5. Step 5: Solve for x
    x = 10,755,745.71/3,754.58
  6. Step 6: Final answer
    x = 2,864.70

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Why These Related Problems?

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