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Finding the Fourth Proportional to 3,223.88, 4,833.93 and 1,002.11

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Solution

The fourth proportional to 3,223.88, 4,833.93 and 1,002.11 is: 1,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.88 : 4,833.93 = 1,002.11 : x
  2. Step 2: Convert to fraction form
    3,223.88/4,833.93 = 1,002.11/x
  3. Step 3: Cross multiply
    3,223.88x = 4,833.93 × 1,002.11
  4. Step 4: Simplify right side
    3,223.88x = 4,844,105.42
  5. Step 5: Solve for x
    x = 4,844,105.42/3,223.88
  6. Step 6: Final answer
    x = 1,502.57

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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.