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Finding the Fourth Proportional to 3,497.58, 5,238.54 and 2,462.22

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Solution

The fourth proportional to 3,497.58, 5,238.54 and 2,462.22 is: 3,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.58 : 5,238.54 = 2,462.22 : x
  2. Step 2: Convert to fraction form
    3,497.58/5,238.54 = 2,462.22/x
  3. Step 3: Cross multiply
    3,497.58x = 5,238.54 × 2,462.22
  4. Step 4: Simplify right side
    3,497.58x = 12,898,437.96
  5. Step 5: Solve for x
    x = 12,898,437.96/3,497.58
  6. Step 6: Final answer
    x = 3,687.82

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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.