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Finding the Fourth Proportional to 4,873.78, 7,308.51 and 3,413.62

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Solution

The fourth proportional to 4,873.78, 7,308.51 and 3,413.62 is: 5,118.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.78 : 7,308.51 = 3,413.62 : x
  2. Step 2: Convert to fraction form
    4,873.78/7,308.51 = 3,413.62/x
  3. Step 3: Cross multiply
    4,873.78x = 7,308.51 × 3,413.62
  4. Step 4: Simplify right side
    4,873.78x = 24,948,475.91
  5. Step 5: Solve for x
    x = 24,948,475.91/4,873.78
  6. Step 6: Final answer
    x = 5,118.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.