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Finding the Fourth Proportional to 5,413.68, 7,470.90 and 3,317.76

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Solution

The fourth proportional to 5,413.68, 7,470.90 and 3,317.76 is: 4,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.68 : 7,470.90 = 3,317.76 : x
  2. Step 2: Convert to fraction form
    5,413.68/7,470.90 = 3,317.76/x
  3. Step 3: Cross multiply
    5,413.68x = 7,470.90 × 3,317.76
  4. Step 4: Simplify right side
    5,413.68x = 24,786,653.18
  5. Step 5: Solve for x
    x = 24,786,653.18/5,413.68
  6. Step 6: Final answer
    x = 4,578.52

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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.