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Finding the Fourth Proportional to 5,699.57, 7,864.43 and 3,181.55

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Solution

The fourth proportional to 5,699.57, 7,864.43 and 3,181.55 is: 4,389.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.57 : 7,864.43 = 3,181.55 : x
  2. Step 2: Convert to fraction form
    5,699.57/7,864.43 = 3,181.55/x
  3. Step 3: Cross multiply
    5,699.57x = 7,864.43 × 3,181.55
  4. Step 4: Simplify right side
    5,699.57x = 25,021,022.04
  5. Step 5: Solve for x
    x = 25,021,022.04/5,699.57
  6. Step 6: Final answer
    x = 4,389.99

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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.