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Finding the Fourth Proportional to 3,357.84, 4,623.12 and 2,767.44

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Solution

The fourth proportional to 3,357.84, 4,623.12 and 2,767.44 is: 3,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.84 : 4,623.12 = 2,767.44 : x
  2. Step 2: Convert to fraction form
    3,357.84/4,623.12 = 2,767.44/x
  3. Step 3: Cross multiply
    3,357.84x = 4,623.12 × 2,767.44
  4. Step 4: Simplify right side
    3,357.84x = 12,794,207.21
  5. Step 5: Solve for x
    x = 12,794,207.21/3,357.84
  6. Step 6: Final answer
    x = 3,810.25

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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.