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Finding the Fourth Proportional to 4,413.72, 6,623.31 and 2,565.70

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Solution

The fourth proportional to 4,413.72, 6,623.31 and 2,565.70 is: 3,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.72 : 6,623.31 = 2,565.70 : x
  2. Step 2: Convert to fraction form
    4,413.72/6,623.31 = 2,565.70/x
  3. Step 3: Cross multiply
    4,413.72x = 6,623.31 × 2,565.70
  4. Step 4: Simplify right side
    4,413.72x = 16,993,426.47
  5. Step 5: Solve for x
    x = 16,993,426.47/4,413.72
  6. Step 6: Final answer
    x = 3,850.14

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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.