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Finding the Fourth Proportional to 4,233.76, 5,846.16 and 4,016.32

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Solution

The fourth proportional to 4,233.76, 5,846.16 and 4,016.32 is: 5,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.76 : 5,846.16 = 4,016.32 : x
  2. Step 2: Convert to fraction form
    4,233.76/5,846.16 = 4,016.32/x
  3. Step 3: Cross multiply
    4,233.76x = 5,846.16 × 4,016.32
  4. Step 4: Simplify right side
    4,233.76x = 23,480,049.33
  5. Step 5: Solve for x
    x = 23,480,049.33/4,233.76
  6. Step 6: Final answer
    x = 5,545.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.