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Finding the Fourth Proportional to 5,416.73, 8,124.39 and 2,298

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Solution

The fourth proportional to 5,416.73, 8,124.39 and 2,298 is: 3,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.73 : 8,124.39 = 2,298 : x
  2. Step 2: Convert to fraction form
    5,416.73/8,124.39 = 2,298/x
  3. Step 3: Cross multiply
    5,416.73x = 8,124.39 × 2,298
  4. Step 4: Simplify right side
    5,416.73x = 18,669,848.22
  5. Step 5: Solve for x
    x = 18,669,848.22/5,416.73
  6. Step 6: Final answer
    x = 3,446.70

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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.