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Finding the Fourth Proportional to 5,181.96, 7,766.46 and 2,585.64

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Solution

The fourth proportional to 5,181.96, 7,766.46 and 2,585.64 is: 3,875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.96 : 7,766.46 = 2,585.64 : x
  2. Step 2: Convert to fraction form
    5,181.96/7,766.46 = 2,585.64/x
  3. Step 3: Cross multiply
    5,181.96x = 7,766.46 × 2,585.64
  4. Step 4: Simplify right side
    5,181.96x = 20,081,269.63
  5. Step 5: Solve for x
    x = 20,081,269.63/5,181.96
  6. Step 6: Final answer
    x = 3,875.23

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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.