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Finding the Fourth Proportional to 3,790.71, 5,686.02 and 1,193.63

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Solution

The fourth proportional to 3,790.71, 5,686.02 and 1,193.63 is: 1,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.71 : 5,686.02 = 1,193.63 : x
  2. Step 2: Convert to fraction form
    3,790.71/5,686.02 = 1,193.63/x
  3. Step 3: Cross multiply
    3,790.71x = 5,686.02 × 1,193.63
  4. Step 4: Simplify right side
    3,790.71x = 6,786,975.62
  5. Step 5: Solve for x
    x = 6,786,975.62/3,790.71
  6. Step 6: Final answer
    x = 1,790.42

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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.