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Finding the Fourth Proportional to 3,790.70, 5,686.32 and 1,325.24

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Solution

The fourth proportional to 3,790.70, 5,686.32 and 1,325.24 is: 1,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.70 : 5,686.32 = 1,325.24 : x
  2. Step 2: Convert to fraction form
    3,790.70/5,686.32 = 1,325.24/x
  3. Step 3: Cross multiply
    3,790.70x = 5,686.32 × 1,325.24
  4. Step 4: Simplify right side
    3,790.70x = 7,535,738.72
  5. Step 5: Solve for x
    x = 7,535,738.72/3,790.70
  6. Step 6: Final answer
    x = 1,987.95

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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.