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Finding the Fourth Proportional to 4,297.31, 6,437.63 and 3,169.52

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Solution

The fourth proportional to 4,297.31, 6,437.63 and 3,169.52 is: 4,748.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.31 : 6,437.63 = 3,169.52 : x
  2. Step 2: Convert to fraction form
    4,297.31/6,437.63 = 3,169.52/x
  3. Step 3: Cross multiply
    4,297.31x = 6,437.63 × 3,169.52
  4. Step 4: Simplify right side
    4,297.31x = 20,404,149.00
  5. Step 5: Solve for x
    x = 20,404,149.00/4,297.31
  6. Step 6: Final answer
    x = 4,748.13

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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.