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Finding the Fourth Proportional to 4,792.08, 7,181.64 and 4,221.84

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Solution

The fourth proportional to 4,792.08, 7,181.64 and 4,221.84 is: 6,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.08 : 7,181.64 = 4,221.84 : x
  2. Step 2: Convert to fraction form
    4,792.08/7,181.64 = 4,221.84/x
  3. Step 3: Cross multiply
    4,792.08x = 7,181.64 × 4,221.84
  4. Step 4: Simplify right side
    4,792.08x = 30,319,735.02
  5. Step 5: Solve for x
    x = 30,319,735.02/4,792.08
  6. Step 6: Final answer
    x = 6,327.05

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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.