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Finding the Fourth Proportional to 4,468.92, 6,164.82 and 2,699.88

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Solution

The fourth proportional to 4,468.92, 6,164.82 and 2,699.88 is: 3,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.92 : 6,164.82 = 2,699.88 : x
  2. Step 2: Convert to fraction form
    4,468.92/6,164.82 = 2,699.88/x
  3. Step 3: Cross multiply
    4,468.92x = 6,164.82 × 2,699.88
  4. Step 4: Simplify right side
    4,468.92x = 16,644,274.22
  5. Step 5: Solve for x
    x = 16,644,274.22/4,468.92
  6. Step 6: Final answer
    x = 3,724.45

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