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Finding the Fourth Proportional to 5,413.71, 7,470.12 and 3,288.14

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Solution

The fourth proportional to 5,413.71, 7,470.12 and 3,288.14 is: 4,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.71 : 7,470.12 = 3,288.14 : x
  2. Step 2: Convert to fraction form
    5,413.71/7,470.12 = 3,288.14/x
  3. Step 3: Cross multiply
    5,413.71x = 7,470.12 × 3,288.14
  4. Step 4: Simplify right side
    5,413.71x = 24,562,800.38
  5. Step 5: Solve for x
    x = 24,562,800.38/5,413.71
  6. Step 6: Final answer
    x = 4,537.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.