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Finding the Fourth Proportional to 3,850.84, 5,772.03 and 1,510.14

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Solution

The fourth proportional to 3,850.84, 5,772.03 and 1,510.14 is: 2,263.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.84 : 5,772.03 = 1,510.14 : x
  2. Step 2: Convert to fraction form
    3,850.84/5,772.03 = 1,510.14/x
  3. Step 3: Cross multiply
    3,850.84x = 5,772.03 × 1,510.14
  4. Step 4: Simplify right side
    3,850.84x = 8,716,573.38
  5. Step 5: Solve for x
    x = 8,716,573.38/3,850.84
  6. Step 6: Final answer
    x = 2,263.55

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1.5x scale

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.