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Finding the Fourth Proportional to 3,497.88, 4,827.12 and 1,926.09

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Solution

The fourth proportional to 3,497.88, 4,827.12 and 1,926.09 is: 2,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.88 : 4,827.12 = 1,926.09 : x
  2. Step 2: Convert to fraction form
    3,497.88/4,827.12 = 1,926.09/x
  3. Step 3: Cross multiply
    3,497.88x = 4,827.12 × 1,926.09
  4. Step 4: Simplify right side
    3,497.88x = 9,297,467.56
  5. Step 5: Solve for x
    x = 9,297,467.56/3,497.88
  6. Step 6: Final answer
    x = 2,658.03

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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.