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Finding the Fourth Proportional to 3,706.67, 5,115.24 and 2,290.03

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Solution

The fourth proportional to 3,706.67, 5,115.24 and 2,290.03 is: 3,160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.67 : 5,115.24 = 2,290.03 : x
  2. Step 2: Convert to fraction form
    3,706.67/5,115.24 = 2,290.03/x
  3. Step 3: Cross multiply
    3,706.67x = 5,115.24 × 2,290.03
  4. Step 4: Simplify right side
    3,706.67x = 11,714,069.04
  5. Step 5: Solve for x
    x = 11,714,069.04/3,706.67
  6. Step 6: Final answer
    x = 3,160.27

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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.