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Finding the Fourth Proportional to 3,173.17, 4,759.74 and 2,116.75

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Solution

The fourth proportional to 3,173.17, 4,759.74 and 2,116.75 is: 3,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.17 : 4,759.74 = 2,116.75 : x
  2. Step 2: Convert to fraction form
    3,173.17/4,759.74 = 2,116.75/x
  3. Step 3: Cross multiply
    3,173.17x = 4,759.74 × 2,116.75
  4. Step 4: Simplify right side
    3,173.17x = 10,075,179.65
  5. Step 5: Solve for x
    x = 10,075,179.65/3,173.17
  6. Step 6: Final answer
    x = 3,175.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.