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Finding the Fourth Proportional to 5,705.16, 8,553.21 and 3,832.91

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Solution

The fourth proportional to 5,705.16, 8,553.21 and 3,832.91 is: 5,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.16 : 8,553.21 = 3,832.91 : x
  2. Step 2: Convert to fraction form
    5,705.16/8,553.21 = 3,832.91/x
  3. Step 3: Cross multiply
    5,705.16x = 8,553.21 × 3,832.91
  4. Step 4: Simplify right side
    5,705.16x = 32,783,684.14
  5. Step 5: Solve for x
    x = 32,783,684.14/5,705.16
  6. Step 6: Final answer
    x = 5,746.32

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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.