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Finding the Fourth Proportional to 3,992.32, 5,509.89 and 2,420.41

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Solution

The fourth proportional to 3,992.32, 5,509.89 and 2,420.41 is: 3,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.32 : 5,509.89 = 2,420.41 : x
  2. Step 2: Convert to fraction form
    3,992.32/5,509.89 = 2,420.41/x
  3. Step 3: Cross multiply
    3,992.32x = 5,509.89 × 2,420.41
  4. Step 4: Simplify right side
    3,992.32x = 13,336,192.85
  5. Step 5: Solve for x
    x = 13,336,192.85/3,992.32
  6. Step 6: Final answer
    x = 3,340.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.