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Finding the Fourth Proportional to 3,790.86, 5,686.26 and 1,158.36

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Solution

The fourth proportional to 3,790.86, 5,686.26 and 1,158.36 is: 1,737.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.86 : 5,686.26 = 1,158.36 : x
  2. Step 2: Convert to fraction form
    3,790.86/5,686.26 = 1,158.36/x
  3. Step 3: Cross multiply
    3,790.86x = 5,686.26 × 1,158.36
  4. Step 4: Simplify right side
    3,790.86x = 6,586,736.13
  5. Step 5: Solve for x
    x = 6,586,736.13/3,790.86
  6. Step 6: Final answer
    x = 1,737.53

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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.