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Finding the Fourth Proportional to 3,922.74, 5,413.47 and 2,154.47

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Solution

The fourth proportional to 3,922.74, 5,413.47 and 2,154.47 is: 2,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.74 : 5,413.47 = 2,154.47 : x
  2. Step 2: Convert to fraction form
    3,922.74/5,413.47 = 2,154.47/x
  3. Step 3: Cross multiply
    3,922.74x = 5,413.47 × 2,154.47
  4. Step 4: Simplify right side
    3,922.74x = 11,663,158.71
  5. Step 5: Solve for x
    x = 11,663,158.71/3,922.74
  6. Step 6: Final answer
    x = 2,973.22

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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.