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Finding the Fourth Proportional to 3,674.66, 5,072.06 and 3,013.09

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Solution

The fourth proportional to 3,674.66, 5,072.06 and 3,013.09 is: 4,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.66 : 5,072.06 = 3,013.09 : x
  2. Step 2: Convert to fraction form
    3,674.66/5,072.06 = 3,013.09/x
  3. Step 3: Cross multiply
    3,674.66x = 5,072.06 × 3,013.09
  4. Step 4: Simplify right side
    3,674.66x = 15,282,568.12
  5. Step 5: Solve for x
    x = 15,282,568.12/3,674.66
  6. Step 6: Final answer
    x = 4,158.91

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1.5x scale

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.