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Finding the Fourth Proportional to 5,864.24, 8,796.36 and 5,475.44

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Solution

The fourth proportional to 5,864.24, 8,796.36 and 5,475.44 is: 8,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.24 : 8,796.36 = 5,475.44 : x
  2. Step 2: Convert to fraction form
    5,864.24/8,796.36 = 5,475.44/x
  3. Step 3: Cross multiply
    5,864.24x = 8,796.36 × 5,475.44
  4. Step 4: Simplify right side
    5,864.24x = 48,163,941.40
  5. Step 5: Solve for x
    x = 48,163,941.40/5,864.24
  6. Step 6: Final answer
    x = 8,213.16

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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.