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Finding the Fourth Proportional to 5,864.96, 8,790.48 and 2,164.74

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Solution

The fourth proportional to 5,864.96, 8,790.48 and 2,164.74 is: 3,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.96 : 8,790.48 = 2,164.74 : x
  2. Step 2: Convert to fraction form
    5,864.96/8,790.48 = 2,164.74/x
  3. Step 3: Cross multiply
    5,864.96x = 8,790.48 × 2,164.74
  4. Step 4: Simplify right side
    5,864.96x = 19,029,103.68
  5. Step 5: Solve for x
    x = 19,029,103.68/5,864.96
  6. Step 6: Final answer
    x = 3,244.54

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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.