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Finding the Fourth Proportional to 3,228.66, 4,832.19 and 2,838.42

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Solution

The fourth proportional to 3,228.66, 4,832.19 and 2,838.42 is: 4,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.66 : 4,832.19 = 2,838.42 : x
  2. Step 2: Convert to fraction form
    3,228.66/4,832.19 = 2,838.42/x
  3. Step 3: Cross multiply
    3,228.66x = 4,832.19 × 2,838.42
  4. Step 4: Simplify right side
    3,228.66x = 13,715,784.74
  5. Step 5: Solve for x
    x = 13,715,784.74/3,228.66
  6. Step 6: Final answer
    x = 4,248.14

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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.