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Finding the Fourth Proportional to 5,486.96, 8,231.32 and 1,788.91

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Solution

The fourth proportional to 5,486.96, 8,231.32 and 1,788.91 is: 2,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.96 : 8,231.32 = 1,788.91 : x
  2. Step 2: Convert to fraction form
    5,486.96/8,231.32 = 1,788.91/x
  3. Step 3: Cross multiply
    5,486.96x = 8,231.32 × 1,788.91
  4. Step 4: Simplify right side
    5,486.96x = 14,725,049.50
  5. Step 5: Solve for x
    x = 14,725,049.50/5,486.96
  6. Step 6: Final answer
    x = 2,683.64

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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.