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Finding the Fourth Proportional to 6,065.51, 8,370.81 and 3,413.57

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Solution

The fourth proportional to 6,065.51, 8,370.81 and 3,413.57 is: 4,710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.51 : 8,370.81 = 3,413.57 : x
  2. Step 2: Convert to fraction form
    6,065.51/8,370.81 = 3,413.57/x
  3. Step 3: Cross multiply
    6,065.51x = 8,370.81 × 3,413.57
  4. Step 4: Simplify right side
    6,065.51x = 28,574,304.04
  5. Step 5: Solve for x
    x = 28,574,304.04/6,065.51
  6. Step 6: Final answer
    x = 4,710.95

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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.