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Finding the Fourth Proportional to 5,413.02, 7,470.41 and 3,055.52

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Solution

The fourth proportional to 5,413.02, 7,470.41 and 3,055.52 is: 4,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.02 : 7,470.41 = 3,055.52 : x
  2. Step 2: Convert to fraction form
    5,413.02/7,470.41 = 3,055.52/x
  3. Step 3: Cross multiply
    5,413.02x = 7,470.41 × 3,055.52
  4. Step 4: Simplify right side
    5,413.02x = 22,825,934.53
  5. Step 5: Solve for x
    x = 22,825,934.53/5,413.02
  6. Step 6: Final answer
    x = 4,216.86

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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.