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Finding the Fourth Proportional to 5,717.89, 8,577.74 and 2,431

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Solution

The fourth proportional to 5,717.89, 8,577.74 and 2,431 is: 3,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.89 : 8,577.74 = 2,431 : x
  2. Step 2: Convert to fraction form
    5,717.89/8,577.74 = 2,431/x
  3. Step 3: Cross multiply
    5,717.89x = 8,577.74 × 2,431
  4. Step 4: Simplify right side
    5,717.89x = 20,852,485.94
  5. Step 5: Solve for x
    x = 20,852,485.94/5,717.89
  6. Step 6: Final answer
    x = 3,646.88

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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.