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Finding the Fourth Proportional to 3,270.75, 4,525.47 and 2,851.98

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Solution

The fourth proportional to 3,270.75, 4,525.47 and 2,851.98 is: 3,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.75 : 4,525.47 = 2,851.98 : x
  2. Step 2: Convert to fraction form
    3,270.75/4,525.47 = 2,851.98/x
  3. Step 3: Cross multiply
    3,270.75x = 4,525.47 × 2,851.98
  4. Step 4: Simplify right side
    3,270.75x = 12,906,549.93
  5. Step 5: Solve for x
    x = 12,906,549.93/3,270.75
  6. Step 6: Final answer
    x = 3,946.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.