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Finding the Fourth Proportional to 4,216.82, 6,330.12 and 2,272.82

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Solution

The fourth proportional to 4,216.82, 6,330.12 and 2,272.82 is: 3,411.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.82 : 6,330.12 = 2,272.82 : x
  2. Step 2: Convert to fraction form
    4,216.82/6,330.12 = 2,272.82/x
  3. Step 3: Cross multiply
    4,216.82x = 6,330.12 × 2,272.82
  4. Step 4: Simplify right side
    4,216.82x = 14,387,223.34
  5. Step 5: Solve for x
    x = 14,387,223.34/4,216.82
  6. Step 6: Final answer
    x = 3,411.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.