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Finding the Fourth Proportional to 5,410.86, 8,116.50 and 1,515.17

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Solution

The fourth proportional to 5,410.86, 8,116.50 and 1,515.17 is: 2,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.86 : 8,116.50 = 1,515.17 : x
  2. Step 2: Convert to fraction form
    5,410.86/8,116.50 = 1,515.17/x
  3. Step 3: Cross multiply
    5,410.86x = 8,116.50 × 1,515.17
  4. Step 4: Simplify right side
    5,410.86x = 12,297,851.33
  5. Step 5: Solve for x
    x = 12,297,851.33/5,410.86
  6. Step 6: Final answer
    x = 2,272.81

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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.