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Finding the Fourth Proportional to 5,795.64, 8,693.34 and 1,413.12

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Solution

The fourth proportional to 5,795.64, 8,693.34 and 1,413.12 is: 2,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.64 : 8,693.34 = 1,413.12 : x
  2. Step 2: Convert to fraction form
    5,795.64/8,693.34 = 1,413.12/x
  3. Step 3: Cross multiply
    5,795.64x = 8,693.34 × 1,413.12
  4. Step 4: Simplify right side
    5,795.64x = 12,284,732.62
  5. Step 5: Solve for x
    x = 12,284,732.62/5,795.64
  6. Step 6: Final answer
    x = 2,119.65

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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.