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Finding the Fourth Proportional to 5,864.16, 8,796.24 and 2,785.44

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Solution

The fourth proportional to 5,864.16, 8,796.24 and 2,785.44 is: 4,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.16 : 8,796.24 = 2,785.44 : x
  2. Step 2: Convert to fraction form
    5,864.16/8,796.24 = 2,785.44/x
  3. Step 3: Cross multiply
    5,864.16x = 8,796.24 × 2,785.44
  4. Step 4: Simplify right side
    5,864.16x = 24,501,398.75
  5. Step 5: Solve for x
    x = 24,501,398.75/5,864.16
  6. Step 6: Final answer
    x = 4,178.16

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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.