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Finding the Fourth Proportional to 3,413.72, 4,712.01 and 2,294.71

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Solution

The fourth proportional to 3,413.72, 4,712.01 and 2,294.71 is: 3,167.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.72 : 4,712.01 = 2,294.71 : x
  2. Step 2: Convert to fraction form
    3,413.72/4,712.01 = 2,294.71/x
  3. Step 3: Cross multiply
    3,413.72x = 4,712.01 × 2,294.71
  4. Step 4: Simplify right side
    3,413.72x = 10,812,676.08
  5. Step 5: Solve for x
    x = 10,812,676.08/3,413.72
  6. Step 6: Final answer
    x = 3,167.42

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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.