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Finding the Fourth Proportional to 5,608.41, 8,413.85 and 1,713.12

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Solution

The fourth proportional to 5,608.41, 8,413.85 and 1,713.12 is: 2,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.41 : 8,413.85 = 1,713.12 : x
  2. Step 2: Convert to fraction form
    5,608.41/8,413.85 = 1,713.12/x
  3. Step 3: Cross multiply
    5,608.41x = 8,413.85 × 1,713.12
  4. Step 4: Simplify right side
    5,608.41x = 14,413,934.71
  5. Step 5: Solve for x
    x = 14,413,934.71/5,608.41
  6. Step 6: Final answer
    x = 2,570.06

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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.