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Finding the Fourth Proportional to 3,890.36, 5,834.73 and 1,116.42

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Solution

The fourth proportional to 3,890.36, 5,834.73 and 1,116.42 is: 1,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.36 : 5,834.73 = 1,116.42 : x
  2. Step 2: Convert to fraction form
    3,890.36/5,834.73 = 1,116.42/x
  3. Step 3: Cross multiply
    3,890.36x = 5,834.73 × 1,116.42
  4. Step 4: Simplify right side
    3,890.36x = 6,513,980.09
  5. Step 5: Solve for x
    x = 6,513,980.09/3,890.36
  6. Step 6: Final answer
    x = 1,674.39

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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.