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Finding the Fourth Proportional to 5,773.44, 8,652.72 and 4,213.32

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Solution

The fourth proportional to 5,773.44, 8,652.72 and 4,213.32 is: 6,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.44 : 8,652.72 = 4,213.32 : x
  2. Step 2: Convert to fraction form
    5,773.44/8,652.72 = 4,213.32/x
  3. Step 3: Cross multiply
    5,773.44x = 8,652.72 × 4,213.32
  4. Step 4: Simplify right side
    5,773.44x = 36,456,678.23
  5. Step 5: Solve for x
    x = 36,456,678.23/5,773.44
  6. Step 6: Final answer
    x = 6,314.55

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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.