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Finding the Fourth Proportional to 5,616.86, 8,418.87 and 3,420.72

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Solution

The fourth proportional to 5,616.86, 8,418.87 and 3,420.72 is: 5,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.86 : 8,418.87 = 3,420.72 : x
  2. Step 2: Convert to fraction form
    5,616.86/8,418.87 = 3,420.72/x
  3. Step 3: Cross multiply
    5,616.86x = 8,418.87 × 3,420.72
  4. Step 4: Simplify right side
    5,616.86x = 28,798,596.99
  5. Step 5: Solve for x
    x = 28,798,596.99/5,616.86
  6. Step 6: Final answer
    x = 5,127.17

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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.