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Finding the Fourth Proportional to 3,834.68, 5,289.21 and 3,706.11

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Solution

The fourth proportional to 3,834.68, 5,289.21 and 3,706.11 is: 5,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.68 : 5,289.21 = 3,706.11 : x
  2. Step 2: Convert to fraction form
    3,834.68/5,289.21 = 3,706.11/x
  3. Step 3: Cross multiply
    3,834.68x = 5,289.21 × 3,706.11
  4. Step 4: Simplify right side
    3,834.68x = 19,602,394.07
  5. Step 5: Solve for x
    x = 19,602,394.07/3,834.68
  6. Step 6: Final answer
    x = 5,111.88

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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.