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Finding the Fourth Proportional to 5,717.71, 8,577.97 and 1,969.55

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Solution

The fourth proportional to 5,717.71, 8,577.97 and 1,969.55 is: 2,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.71 : 8,577.97 = 1,969.55 : x
  2. Step 2: Convert to fraction form
    5,717.71/8,577.97 = 1,969.55/x
  3. Step 3: Cross multiply
    5,717.71x = 8,577.97 × 1,969.55
  4. Step 4: Simplify right side
    5,717.71x = 16,894,740.81
  5. Step 5: Solve for x
    x = 16,894,740.81/5,717.71
  6. Step 6: Final answer
    x = 2,954.81

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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.