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Finding the Fourth Proportional to 3,970.82, 5,952.03 and 1,335.82

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Solution

The fourth proportional to 3,970.82, 5,952.03 and 1,335.82 is: 2,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.82 : 5,952.03 = 1,335.82 : x
  2. Step 2: Convert to fraction form
    3,970.82/5,952.03 = 1,335.82/x
  3. Step 3: Cross multiply
    3,970.82x = 5,952.03 × 1,335.82
  4. Step 4: Simplify right side
    3,970.82x = 7,950,840.71
  5. Step 5: Solve for x
    x = 7,950,840.71/3,970.82
  6. Step 6: Final answer
    x = 2,002.32

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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.