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Finding the Fourth Proportional to 5,622.30, 7,759.41 and 3,264.66

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Solution

The fourth proportional to 5,622.30, 7,759.41 and 3,264.66 is: 4,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.30 : 7,759.41 = 3,264.66 : x
  2. Step 2: Convert to fraction form
    5,622.30/7,759.41 = 3,264.66/x
  3. Step 3: Cross multiply
    5,622.30x = 7,759.41 × 3,264.66
  4. Step 4: Simplify right side
    5,622.30x = 25,331,835.45
  5. Step 5: Solve for x
    x = 25,331,835.45/5,622.30
  6. Step 6: Final answer
    x = 4,505.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.