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Finding the Fourth Proportional to 4,282.84, 5,913.09 and 3,833.92

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Solution

The fourth proportional to 4,282.84, 5,913.09 and 3,833.92 is: 5,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.84 : 5,913.09 = 3,833.92 : x
  2. Step 2: Convert to fraction form
    4,282.84/5,913.09 = 3,833.92/x
  3. Step 3: Cross multiply
    4,282.84x = 5,913.09 × 3,833.92
  4. Step 4: Simplify right side
    4,282.84x = 22,670,314.01
  5. Step 5: Solve for x
    x = 22,670,314.01/4,282.84
  6. Step 6: Final answer
    x = 5,293.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.