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Finding the Fourth Proportional to 5,675.22, 8,509.89 and 2,552.58

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Solution

The fourth proportional to 5,675.22, 8,509.89 and 2,552.58 is: 3,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.22 : 8,509.89 = 2,552.58 : x
  2. Step 2: Convert to fraction form
    5,675.22/8,509.89 = 2,552.58/x
  3. Step 3: Cross multiply
    5,675.22x = 8,509.89 × 2,552.58
  4. Step 4: Simplify right side
    5,675.22x = 21,722,175.02
  5. Step 5: Solve for x
    x = 21,722,175.02/5,675.22
  6. Step 6: Final answer
    x = 3,827.55

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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.