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Finding the Fourth Proportional to 4,286.92, 6,424.53 and 2,413.70

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Solution

The fourth proportional to 4,286.92, 6,424.53 and 2,413.70 is: 3,617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.92 : 6,424.53 = 2,413.70 : x
  2. Step 2: Convert to fraction form
    4,286.92/6,424.53 = 2,413.70/x
  3. Step 3: Cross multiply
    4,286.92x = 6,424.53 × 2,413.70
  4. Step 4: Simplify right side
    4,286.92x = 15,506,888.06
  5. Step 5: Solve for x
    x = 15,506,888.06/4,286.92
  6. Step 6: Final answer
    x = 3,617.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.