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Finding the Fourth Proportional to 4,652.43, 6,413.72 and 3,325.65

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Solution

The fourth proportional to 4,652.43, 6,413.72 and 3,325.65 is: 4,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.43 : 6,413.72 = 3,325.65 : x
  2. Step 2: Convert to fraction form
    4,652.43/6,413.72 = 3,325.65/x
  3. Step 3: Cross multiply
    4,652.43x = 6,413.72 × 3,325.65
  4. Step 4: Simplify right side
    4,652.43x = 21,329,771.29
  5. Step 5: Solve for x
    x = 21,329,771.29/4,652.43
  6. Step 6: Final answer
    x = 4,584.65

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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.