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Finding the Fourth Proportional to 3,790.81, 5,683.17 and 2,542.70

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Solution

The fourth proportional to 3,790.81, 5,683.17 and 2,542.70 is: 3,812.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.81 : 5,683.17 = 2,542.70 : x
  2. Step 2: Convert to fraction form
    3,790.81/5,683.17 = 2,542.70/x
  3. Step 3: Cross multiply
    3,790.81x = 5,683.17 × 2,542.70
  4. Step 4: Simplify right side
    3,790.81x = 14,450,573.83
  5. Step 5: Solve for x
    x = 14,450,573.83/3,790.81
  6. Step 6: Final answer
    x = 3,812.01

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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.