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Finding the Fourth Proportional to 4,797, 7,188.53 and 3,413.12

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Solution

The fourth proportional to 4,797, 7,188.53 and 3,413.12 is: 5,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797 : 7,188.53 = 3,413.12 : x
  2. Step 2: Convert to fraction form
    4,797/7,188.53 = 3,413.12/x
  3. Step 3: Cross multiply
    4,797x = 7,188.53 × 3,413.12
  4. Step 4: Simplify right side
    4,797x = 24,535,262.51
  5. Step 5: Solve for x
    x = 24,535,262.51/4,797
  6. Step 6: Final answer
    x = 5,114.71

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Why These Related Problems?

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