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Finding the Fourth Proportional to 3,503.68, 4,836.16 and 2,261.44

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Solution

The fourth proportional to 3,503.68, 4,836.16 and 2,261.44 is: 3,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.68 : 4,836.16 = 2,261.44 : x
  2. Step 2: Convert to fraction form
    3,503.68/4,836.16 = 2,261.44/x
  3. Step 3: Cross multiply
    3,503.68x = 4,836.16 × 2,261.44
  4. Step 4: Simplify right side
    3,503.68x = 10,936,685.67
  5. Step 5: Solve for x
    x = 10,936,685.67/3,503.68
  6. Step 6: Final answer
    x = 3,121.49

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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.