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Finding the Fourth Proportional to 4,442.32, 6,662.84 and 2,134.48

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Solution

The fourth proportional to 4,442.32, 6,662.84 and 2,134.48 is: 3,201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.32 : 6,662.84 = 2,134.48 : x
  2. Step 2: Convert to fraction form
    4,442.32/6,662.84 = 2,134.48/x
  3. Step 3: Cross multiply
    4,442.32x = 6,662.84 × 2,134.48
  4. Step 4: Simplify right side
    4,442.32x = 14,221,698.72
  5. Step 5: Solve for x
    x = 14,221,698.72/4,442.32
  6. Step 6: Final answer
    x = 3,201.41

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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.