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Finding the Fourth Proportional to 3,490.42, 5,234.87 and 1,239.25

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Solution

The fourth proportional to 3,490.42, 5,234.87 and 1,239.25 is: 1,858.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.42 : 5,234.87 = 1,239.25 : x
  2. Step 2: Convert to fraction form
    3,490.42/5,234.87 = 1,239.25/x
  3. Step 3: Cross multiply
    3,490.42x = 5,234.87 × 1,239.25
  4. Step 4: Simplify right side
    3,490.42x = 6,487,302.66
  5. Step 5: Solve for x
    x = 6,487,302.66/3,490.42
  6. Step 6: Final answer
    x = 1,858.60

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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.