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Finding the Fourth Proportional to 3,578.29, 5,361.60 and 1,820.88

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Solution

The fourth proportional to 3,578.29, 5,361.60 and 1,820.88 is: 2,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.29 : 5,361.60 = 1,820.88 : x
  2. Step 2: Convert to fraction form
    3,578.29/5,361.60 = 1,820.88/x
  3. Step 3: Cross multiply
    3,578.29x = 5,361.60 × 1,820.88
  4. Step 4: Simplify right side
    3,578.29x = 9,762,830.21
  5. Step 5: Solve for x
    x = 9,762,830.21/3,578.29
  6. Step 6: Final answer
    x = 2,728.35

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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.