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Finding the Fourth Proportional to 4,691.37, 6,471.66 and 3,413.82

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Solution

The fourth proportional to 4,691.37, 6,471.66 and 3,413.82 is: 4,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.37 : 6,471.66 = 3,413.82 : x
  2. Step 2: Convert to fraction form
    4,691.37/6,471.66 = 3,413.82/x
  3. Step 3: Cross multiply
    4,691.37x = 6,471.66 × 3,413.82
  4. Step 4: Simplify right side
    4,691.37x = 22,093,082.34
  5. Step 5: Solve for x
    x = 22,093,082.34/4,691.37
  6. Step 6: Final answer
    x = 4,709.30

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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.