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Finding the Fourth Proportional to 5,773.56, 7,967.08 and 3,415.24

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Solution

The fourth proportional to 5,773.56, 7,967.08 and 3,415.24 is: 4,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.56 : 7,967.08 = 3,415.24 : x
  2. Step 2: Convert to fraction form
    5,773.56/7,967.08 = 3,415.24/x
  3. Step 3: Cross multiply
    5,773.56x = 7,967.08 × 3,415.24
  4. Step 4: Simplify right side
    5,773.56x = 27,209,490.30
  5. Step 5: Solve for x
    x = 27,209,490.30/5,773.56
  6. Step 6: Final answer
    x = 4,712.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.