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Finding the Fourth Proportional to 5,413.11, 7,463.39 and 4,472.70

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Solution

The fourth proportional to 5,413.11, 7,463.39 and 4,472.70 is: 6,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.11 : 7,463.39 = 4,472.70 : x
  2. Step 2: Convert to fraction form
    5,413.11/7,463.39 = 4,472.70/x
  3. Step 3: Cross multiply
    5,413.11x = 7,463.39 × 4,472.70
  4. Step 4: Simplify right side
    5,413.11x = 33,381,482.09
  5. Step 5: Solve for x
    x = 33,381,482.09/5,413.11
  6. Step 6: Final answer
    x = 6,166.78

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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.