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Finding the Fourth Proportional to 4,231.53, 6,347.90 and 1,310.09

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Solution

The fourth proportional to 4,231.53, 6,347.90 and 1,310.09 is: 1,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.53 : 6,347.90 = 1,310.09 : x
  2. Step 2: Convert to fraction form
    4,231.53/6,347.90 = 1,310.09/x
  3. Step 3: Cross multiply
    4,231.53x = 6,347.90 × 1,310.09
  4. Step 4: Simplify right side
    4,231.53x = 8,316,291.85
  5. Step 5: Solve for x
    x = 8,316,291.85/4,231.53
  6. Step 6: Final answer
    x = 1,965.32

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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.