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Finding the Fourth Proportional to 3,412.84, 5,128.90 and 2,026.44

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Solution

The fourth proportional to 3,412.84, 5,128.90 and 2,026.44 is: 3,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.84 : 5,128.90 = 2,026.44 : x
  2. Step 2: Convert to fraction form
    3,412.84/5,128.90 = 2,026.44/x
  3. Step 3: Cross multiply
    3,412.84x = 5,128.90 × 2,026.44
  4. Step 4: Simplify right side
    3,412.84x = 10,393,408.12
  5. Step 5: Solve for x
    x = 10,393,408.12/3,412.84
  6. Step 6: Final answer
    x = 3,045.38

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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.