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Finding the Fourth Proportional to 3,902.49, 5,853.74 and 2,360.25

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Solution

The fourth proportional to 3,902.49, 5,853.74 and 2,360.25 is: 3,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.49 : 5,853.74 = 2,360.25 : x
  2. Step 2: Convert to fraction form
    3,902.49/5,853.74 = 2,360.25/x
  3. Step 3: Cross multiply
    3,902.49x = 5,853.74 × 2,360.25
  4. Step 4: Simplify right side
    3,902.49x = 13,816,278.03
  5. Step 5: Solve for x
    x = 13,816,278.03/3,902.49
  6. Step 6: Final answer
    x = 3,540.38

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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.