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Finding the Fourth Proportional to 3,586.88, 5,378.94 and 1,395.32

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Solution

The fourth proportional to 3,586.88, 5,378.94 and 1,395.32 is: 2,092.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.88 : 5,378.94 = 1,395.32 : x
  2. Step 2: Convert to fraction form
    3,586.88/5,378.94 = 1,395.32/x
  3. Step 3: Cross multiply
    3,586.88x = 5,378.94 × 1,395.32
  4. Step 4: Simplify right side
    3,586.88x = 7,505,315.67
  5. Step 5: Solve for x
    x = 7,505,315.67/3,586.88
  6. Step 6: Final answer
    x = 2,092.43

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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.