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Finding the Fourth Proportional to 5,645.16, 8,469.15 and 2,356.56

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Solution

The fourth proportional to 5,645.16, 8,469.15 and 2,356.56 is: 3,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.16 : 8,469.15 = 2,356.56 : x
  2. Step 2: Convert to fraction form
    5,645.16/8,469.15 = 2,356.56/x
  3. Step 3: Cross multiply
    5,645.16x = 8,469.15 × 2,356.56
  4. Step 4: Simplify right side
    5,645.16x = 19,958,060.12
  5. Step 5: Solve for x
    x = 19,958,060.12/5,645.16
  6. Step 6: Final answer
    x = 3,535.43

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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.