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Finding the Fourth Proportional to 3,413.72, 4,710.66 and 2,232.92

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Solution

The fourth proportional to 3,413.72, 4,710.66 and 2,232.92 is: 3,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.72 : 4,710.66 = 2,232.92 : x
  2. Step 2: Convert to fraction form
    3,413.72/4,710.66 = 2,232.92/x
  3. Step 3: Cross multiply
    3,413.72x = 4,710.66 × 2,232.92
  4. Step 4: Simplify right side
    3,413.72x = 10,518,526.93
  5. Step 5: Solve for x
    x = 10,518,526.93/3,413.72
  6. Step 6: Final answer
    x = 3,081.25

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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.