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Finding the Fourth Proportional to 4,605.40, 6,910.16 and 2,413.62

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Solution

The fourth proportional to 4,605.40, 6,910.16 and 2,413.62 is: 3,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.40 : 6,910.16 = 2,413.62 : x
  2. Step 2: Convert to fraction form
    4,605.40/6,910.16 = 2,413.62/x
  3. Step 3: Cross multiply
    4,605.40x = 6,910.16 × 2,413.62
  4. Step 4: Simplify right side
    4,605.40x = 16,678,500.38
  5. Step 5: Solve for x
    x = 16,678,500.38/4,605.40
  6. Step 6: Final answer
    x = 3,621.51

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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.