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Finding the Fourth Proportional to 5,753.76, 8,632.26 and 4,195.32

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Solution

The fourth proportional to 5,753.76, 8,632.26 and 4,195.32 is: 6,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.76 : 8,632.26 = 4,195.32 : x
  2. Step 2: Convert to fraction form
    5,753.76/8,632.26 = 4,195.32/x
  3. Step 3: Cross multiply
    5,753.76x = 8,632.26 × 4,195.32
  4. Step 4: Simplify right side
    5,753.76x = 36,215,093.02
  5. Step 5: Solve for x
    x = 36,215,093.02/5,753.76
  6. Step 6: Final answer
    x = 6,294.16

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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.