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Finding the Fourth Proportional to 4,229, 6,343.52 and 1,493

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Solution

The fourth proportional to 4,229, 6,343.52 and 1,493 is: 2,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229 : 6,343.52 = 1,493 : x
  2. Step 2: Convert to fraction form
    4,229/6,343.52 = 1,493/x
  3. Step 3: Cross multiply
    4,229x = 6,343.52 × 1,493
  4. Step 4: Simplify right side
    4,229x = 9,470,875.36
  5. Step 5: Solve for x
    x = 9,470,875.36/4,229
  6. Step 6: Final answer
    x = 2,239.51

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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.