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Finding the Fourth Proportional to 5,623.14, 7,759.86 and 3,356.04

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Solution

The fourth proportional to 5,623.14, 7,759.86 and 3,356.04 is: 4,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.14 : 7,759.86 = 3,356.04 : x
  2. Step 2: Convert to fraction form
    5,623.14/7,759.86 = 3,356.04/x
  3. Step 3: Cross multiply
    5,623.14x = 7,759.86 × 3,356.04
  4. Step 4: Simplify right side
    5,623.14x = 26,042,400.55
  5. Step 5: Solve for x
    x = 26,042,400.55/5,623.14
  6. Step 6: Final answer
    x = 4,631.29

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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.