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Finding the Fourth Proportional to 5,718.86, 8,578.98 and 2,020.33

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Solution

The fourth proportional to 5,718.86, 8,578.98 and 2,020.33 is: 3,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.86 : 8,578.98 = 2,020.33 : x
  2. Step 2: Convert to fraction form
    5,718.86/8,578.98 = 2,020.33/x
  3. Step 3: Cross multiply
    5,718.86x = 8,578.98 × 2,020.33
  4. Step 4: Simplify right side
    5,718.86x = 17,332,403.79
  5. Step 5: Solve for x
    x = 17,332,403.79/5,718.86
  6. Step 6: Final answer
    x = 3,030.74

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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.