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Finding the Fourth Proportional to 3,731.50, 5,149.48 and 2,075.50

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Solution

The fourth proportional to 3,731.50, 5,149.48 and 2,075.50 is: 2,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.50 : 5,149.48 = 2,075.50 : x
  2. Step 2: Convert to fraction form
    3,731.50/5,149.48 = 2,075.50/x
  3. Step 3: Cross multiply
    3,731.50x = 5,149.48 × 2,075.50
  4. Step 4: Simplify right side
    3,731.50x = 10,687,745.74
  5. Step 5: Solve for x
    x = 10,687,745.74/3,731.50
  6. Step 6: Final answer
    x = 2,864.20

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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.