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Finding the Fourth Proportional to 3,790.49, 5,686.56 and 1,158.21

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Solution

The fourth proportional to 3,790.49, 5,686.56 and 1,158.21 is: 1,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.49 : 5,686.56 = 1,158.21 : x
  2. Step 2: Convert to fraction form
    3,790.49/5,686.56 = 1,158.21/x
  3. Step 3: Cross multiply
    3,790.49x = 5,686.56 × 1,158.21
  4. Step 4: Simplify right side
    3,790.49x = 6,586,230.66
  5. Step 5: Solve for x
    x = 6,586,230.66/3,790.49
  6. Step 6: Final answer
    x = 1,737.57

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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.