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Finding the Fourth Proportional to 5,522.80, 8,284.65 and 1,574.05

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Solution

The fourth proportional to 5,522.80, 8,284.65 and 1,574.05 is: 2,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.80 : 8,284.65 = 1,574.05 : x
  2. Step 2: Convert to fraction form
    5,522.80/8,284.65 = 1,574.05/x
  3. Step 3: Cross multiply
    5,522.80x = 8,284.65 × 1,574.05
  4. Step 4: Simplify right side
    5,522.80x = 13,040,453.33
  5. Step 5: Solve for x
    x = 13,040,453.33/5,522.80
  6. Step 6: Final answer
    x = 2,361.20

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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.