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Finding the Fourth Proportional to 6,020.78, 9,031.11 and 1,638.20

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Solution

The fourth proportional to 6,020.78, 9,031.11 and 1,638.20 is: 2,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,020.78 : 9,031.11 = 1,638.20 : x
  2. Step 2: Convert to fraction form
    6,020.78/9,031.11 = 1,638.20/x
  3. Step 3: Cross multiply
    6,020.78x = 9,031.11 × 1,638.20
  4. Step 4: Simplify right side
    6,020.78x = 14,794,764.40
  5. Step 5: Solve for x
    x = 14,794,764.40/6,020.78
  6. Step 6: Final answer
    x = 2,457.28

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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.