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Finding the Fourth Proportional to 3,490.44, 5,234.10 and 1,642.08

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Solution

The fourth proportional to 3,490.44, 5,234.10 and 1,642.08 is: 2,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.44 : 5,234.10 = 1,642.08 : x
  2. Step 2: Convert to fraction form
    3,490.44/5,234.10 = 1,642.08/x
  3. Step 3: Cross multiply
    3,490.44x = 5,234.10 × 1,642.08
  4. Step 4: Simplify right side
    3,490.44x = 8,594,810.93
  5. Step 5: Solve for x
    x = 8,594,810.93/3,490.44
  6. Step 6: Final answer
    x = 2,462.39

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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.