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Finding the Fourth Proportional to 3,400.77, 5,098.22 and 2,820.61

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Solution

The fourth proportional to 3,400.77, 5,098.22 and 2,820.61 is: 4,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.77 : 5,098.22 = 2,820.61 : x
  2. Step 2: Convert to fraction form
    3,400.77/5,098.22 = 2,820.61/x
  3. Step 3: Cross multiply
    3,400.77x = 5,098.22 × 2,820.61
  4. Step 4: Simplify right side
    3,400.77x = 14,380,090.31
  5. Step 5: Solve for x
    x = 14,380,090.31/3,400.77
  6. Step 6: Final answer
    x = 4,228.48

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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.