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Finding the Fourth Proportional to 3,834.40, 5,717.08 and 3,738.72

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Solution

The fourth proportional to 3,834.40, 5,717.08 and 3,738.72 is: 5,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.40 : 5,717.08 = 3,738.72 : x
  2. Step 2: Convert to fraction form
    3,834.40/5,717.08 = 3,738.72/x
  3. Step 3: Cross multiply
    3,834.40x = 5,717.08 × 3,738.72
  4. Step 4: Simplify right side
    3,834.40x = 21,374,561.34
  5. Step 5: Solve for x
    x = 21,374,561.34/3,834.40
  6. Step 6: Final answer
    x = 5,574.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.