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Finding the Fourth Proportional to 4,231.56, 6,347.10 and 1,310.10

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Solution

The fourth proportional to 4,231.56, 6,347.10 and 1,310.10 is: 1,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.56 : 6,347.10 = 1,310.10 : x
  2. Step 2: Convert to fraction form
    4,231.56/6,347.10 = 1,310.10/x
  3. Step 3: Cross multiply
    4,231.56x = 6,347.10 × 1,310.10
  4. Step 4: Simplify right side
    4,231.56x = 8,315,335.71
  5. Step 5: Solve for x
    x = 8,315,335.71/4,231.56
  6. Step 6: Final answer
    x = 1,965.08

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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.