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Finding the Fourth Proportional to 5,413.66, 7,470.27 and 3,055.66

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Solution

The fourth proportional to 5,413.66, 7,470.27 and 3,055.66 is: 4,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.66 : 7,470.27 = 3,055.66 : x
  2. Step 2: Convert to fraction form
    5,413.66/7,470.27 = 3,055.66/x
  3. Step 3: Cross multiply
    5,413.66x = 7,470.27 × 3,055.66
  4. Step 4: Simplify right side
    5,413.66x = 22,826,605.23
  5. Step 5: Solve for x
    x = 22,826,605.23/5,413.66
  6. Step 6: Final answer
    x = 4,216.48

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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.