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Finding the Fourth Proportional to 4,229.56, 6,345.68 and 2,038.44

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Solution

The fourth proportional to 4,229.56, 6,345.68 and 2,038.44 is: 3,058.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.56 : 6,345.68 = 2,038.44 : x
  2. Step 2: Convert to fraction form
    4,229.56/6,345.68 = 2,038.44/x
  3. Step 3: Cross multiply
    4,229.56x = 6,345.68 × 2,038.44
  4. Step 4: Simplify right side
    4,229.56x = 12,935,287.94
  5. Step 5: Solve for x
    x = 12,935,287.94/4,229.56
  6. Step 6: Final answer
    x = 3,058.31

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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.