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Finding the Fourth Proportional to 5,716.38, 8,574.74 and 1,820.79

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Solution

The fourth proportional to 5,716.38, 8,574.74 and 1,820.79 is: 2,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.38 : 8,574.74 = 1,820.79 : x
  2. Step 2: Convert to fraction form
    5,716.38/8,574.74 = 1,820.79/x
  3. Step 3: Cross multiply
    5,716.38x = 8,574.74 × 1,820.79
  4. Step 4: Simplify right side
    5,716.38x = 15,612,800.84
  5. Step 5: Solve for x
    x = 15,612,800.84/5,716.38
  6. Step 6: Final answer
    x = 2,731.24

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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.