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Finding the Fourth Proportional to 3,117.68, 4,658.41 and 2,362.22

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Solution

The fourth proportional to 3,117.68, 4,658.41 and 2,362.22 is: 3,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.68 : 4,658.41 = 2,362.22 : x
  2. Step 2: Convert to fraction form
    3,117.68/4,658.41 = 2,362.22/x
  3. Step 3: Cross multiply
    3,117.68x = 4,658.41 × 2,362.22
  4. Step 4: Simplify right side
    3,117.68x = 11,004,189.27
  5. Step 5: Solve for x
    x = 11,004,189.27/3,117.68
  6. Step 6: Final answer
    x = 3,529.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.