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Finding the Fourth Proportional to 5,221.60, 7,832.40 and 3,034.60

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Solution

The fourth proportional to 5,221.60, 7,832.40 and 3,034.60 is: 4,551.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.60 : 7,832.40 = 3,034.60 : x
  2. Step 2: Convert to fraction form
    5,221.60/7,832.40 = 3,034.60/x
  3. Step 3: Cross multiply
    5,221.60x = 7,832.40 × 3,034.60
  4. Step 4: Simplify right side
    5,221.60x = 23,768,201.04
  5. Step 5: Solve for x
    x = 23,768,201.04/5,221.60
  6. Step 6: Final answer
    x = 4,551.90

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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.