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Finding the Fourth Proportional to 3,199.40, 4,435.31 and 3,024.20

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Solution

The fourth proportional to 3,199.40, 4,435.31 and 3,024.20 is: 4,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.40 : 4,435.31 = 3,024.20 : x
  2. Step 2: Convert to fraction form
    3,199.40/4,435.31 = 3,024.20/x
  3. Step 3: Cross multiply
    3,199.40x = 4,435.31 × 3,024.20
  4. Step 4: Simplify right side
    3,199.40x = 13,413,264.50
  5. Step 5: Solve for x
    x = 13,413,264.50/3,199.40
  6. Step 6: Final answer
    x = 4,192.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.