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Finding the Fourth Proportional to 6,181.60, 9,271.92 and 2,893.84

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Solution

The fourth proportional to 6,181.60, 9,271.92 and 2,893.84 is: 4,340.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.60 : 9,271.92 = 2,893.84 : x
  2. Step 2: Convert to fraction form
    6,181.60/9,271.92 = 2,893.84/x
  3. Step 3: Cross multiply
    6,181.60x = 9,271.92 × 2,893.84
  4. Step 4: Simplify right side
    6,181.60x = 26,831,452.97
  5. Step 5: Solve for x
    x = 26,831,452.97/6,181.60
  6. Step 6: Final answer
    x = 4,340.54

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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.