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Finding the Fourth Proportional to 4,098.16, 6,147.22 and 1,905.68

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Solution

The fourth proportional to 4,098.16, 6,147.22 and 1,905.68 is: 2,858.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.16 : 6,147.22 = 1,905.68 : x
  2. Step 2: Convert to fraction form
    4,098.16/6,147.22 = 1,905.68/x
  3. Step 3: Cross multiply
    4,098.16x = 6,147.22 × 1,905.68
  4. Step 4: Simplify right side
    4,098.16x = 11,714,634.21
  5. Step 5: Solve for x
    x = 11,714,634.21/4,098.16
  6. Step 6: Final answer
    x = 2,858.51

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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.