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Finding the Fourth Proportional to 5,321.97, 7,983.77 and 1,574.10

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Solution

The fourth proportional to 5,321.97, 7,983.77 and 1,574.10 is: 2,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.97 : 7,983.77 = 1,574.10 : x
  2. Step 2: Convert to fraction form
    5,321.97/7,983.77 = 1,574.10/x
  3. Step 3: Cross multiply
    5,321.97x = 7,983.77 × 1,574.10
  4. Step 4: Simplify right side
    5,321.97x = 12,567,244.49
  5. Step 5: Solve for x
    x = 12,567,244.49/5,321.97
  6. Step 6: Final answer
    x = 2,361.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.