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Finding the Fourth Proportional to 3,163.86, 4,714.20 and 3,110.40

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Solution

The fourth proportional to 3,163.86, 4,714.20 and 3,110.40 is: 4,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.86 : 4,714.20 = 3,110.40 : x
  2. Step 2: Convert to fraction form
    3,163.86/4,714.20 = 3,110.40/x
  3. Step 3: Cross multiply
    3,163.86x = 4,714.20 × 3,110.40
  4. Step 4: Simplify right side
    3,163.86x = 14,663,047.68
  5. Step 5: Solve for x
    x = 14,663,047.68/3,163.86
  6. Step 6: Final answer
    x = 4,634.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.