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Finding the Fourth Proportional to 3,812.14, 5,717.41 and 1,075.50

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Solution

The fourth proportional to 3,812.14, 5,717.41 and 1,075.50 is: 1,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.14 : 5,717.41 = 1,075.50 : x
  2. Step 2: Convert to fraction form
    3,812.14/5,717.41 = 1,075.50/x
  3. Step 3: Cross multiply
    3,812.14x = 5,717.41 × 1,075.50
  4. Step 4: Simplify right side
    3,812.14x = 6,149,074.46
  5. Step 5: Solve for x
    x = 6,149,074.46/3,812.14
  6. Step 6: Final answer
    x = 1,613.02

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Why These Related Problems?

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