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Finding the Fourth Proportional to 3,790.53, 5,686.41 and 1,599.59

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Solution

The fourth proportional to 3,790.53, 5,686.41 and 1,599.59 is: 2,399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.53 : 5,686.41 = 1,599.59 : x
  2. Step 2: Convert to fraction form
    3,790.53/5,686.41 = 1,599.59/x
  3. Step 3: Cross multiply
    3,790.53x = 5,686.41 × 1,599.59
  4. Step 4: Simplify right side
    3,790.53x = 9,095,892.14
  5. Step 5: Solve for x
    x = 9,095,892.14/3,790.53
  6. Step 6: Final answer
    x = 2,399.63

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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.