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Finding the Fourth Proportional to 3,493.72, 4,822.47 and 2,238.16

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Solution

The fourth proportional to 3,493.72, 4,822.47 and 2,238.16 is: 3,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.72 : 4,822.47 = 2,238.16 : x
  2. Step 2: Convert to fraction form
    3,493.72/4,822.47 = 2,238.16/x
  3. Step 3: Cross multiply
    3,493.72x = 4,822.47 × 2,238.16
  4. Step 4: Simplify right side
    3,493.72x = 10,793,459.46
  5. Step 5: Solve for x
    x = 10,793,459.46/3,493.72
  6. Step 6: Final answer
    x = 3,089.39

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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.