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Finding the Fourth Proportional to 3,223.79, 4,837.20 and 1,002.97

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Solution

The fourth proportional to 3,223.79, 4,837.20 and 1,002.97 is: 1,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.79 : 4,837.20 = 1,002.97 : x
  2. Step 2: Convert to fraction form
    3,223.79/4,837.20 = 1,002.97/x
  3. Step 3: Cross multiply
    3,223.79x = 4,837.20 × 1,002.97
  4. Step 4: Simplify right side
    3,223.79x = 4,851,566.48
  5. Step 5: Solve for x
    x = 4,851,566.48/3,223.79
  6. Step 6: Final answer
    x = 1,504.93

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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.