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Finding the Fourth Proportional to 4,558.38, 6,838.38 and 3,476.22

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Solution

The fourth proportional to 4,558.38, 6,838.38 and 3,476.22 is: 5,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.38 : 6,838.38 = 3,476.22 : x
  2. Step 2: Convert to fraction form
    4,558.38/6,838.38 = 3,476.22/x
  3. Step 3: Cross multiply
    4,558.38x = 6,838.38 × 3,476.22
  4. Step 4: Simplify right side
    4,558.38x = 23,771,713.32
  5. Step 5: Solve for x
    x = 23,771,713.32/4,558.38
  6. Step 6: Final answer
    x = 5,214.95

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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.