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Finding the Fourth Proportional to 5,753.07, 8,641.89 and 4,120.11

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Solution

The fourth proportional to 5,753.07, 8,641.89 and 4,120.11 is: 6,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.07 : 8,641.89 = 4,120.11 : x
  2. Step 2: Convert to fraction form
    5,753.07/8,641.89 = 4,120.11/x
  3. Step 3: Cross multiply
    5,753.07x = 8,641.89 × 4,120.11
  4. Step 4: Simplify right side
    5,753.07x = 35,605,537.41
  5. Step 5: Solve for x
    x = 35,605,537.41/5,753.07
  6. Step 6: Final answer
    x = 6,188.96

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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.