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Finding the Fourth Proportional to 5,224.58, 7,829.51 and 2,885.64

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Solution

The fourth proportional to 5,224.58, 7,829.51 and 2,885.64 is: 4,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.58 : 7,829.51 = 2,885.64 : x
  2. Step 2: Convert to fraction form
    5,224.58/7,829.51 = 2,885.64/x
  3. Step 3: Cross multiply
    5,224.58x = 7,829.51 × 2,885.64
  4. Step 4: Simplify right side
    5,224.58x = 22,593,147.24
  5. Step 5: Solve for x
    x = 22,593,147.24/5,224.58
  6. Step 6: Final answer
    x = 4,324.39

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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.