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Finding the Fourth Proportional to 4,695.49, 6,473.10 and 3,201.49

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Solution

The fourth proportional to 4,695.49, 6,473.10 and 3,201.49 is: 4,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.49 : 6,473.10 = 3,201.49 : x
  2. Step 2: Convert to fraction form
    4,695.49/6,473.10 = 3,201.49/x
  3. Step 3: Cross multiply
    4,695.49x = 6,473.10 × 3,201.49
  4. Step 4: Simplify right side
    4,695.49x = 20,723,564.92
  5. Step 5: Solve for x
    x = 20,723,564.92/4,695.49
  6. Step 6: Final answer
    x = 4,413.50

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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.