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Finding the Fourth Proportional to 3,098.16, 4,649.27 and 2,893.16

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Solution

The fourth proportional to 3,098.16, 4,649.27 and 2,893.16 is: 4,341.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.16 : 4,649.27 = 2,893.16 : x
  2. Step 2: Convert to fraction form
    3,098.16/4,649.27 = 2,893.16/x
  3. Step 3: Cross multiply
    3,098.16x = 4,649.27 × 2,893.16
  4. Step 4: Simplify right side
    3,098.16x = 13,451,079.15
  5. Step 5: Solve for x
    x = 13,451,079.15/3,098.16
  6. Step 6: Final answer
    x = 4,341.63

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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.