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Finding the Fourth Proportional to 3,424.47, 5,133.57 and 1,232.66

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Solution

The fourth proportional to 3,424.47, 5,133.57 and 1,232.66 is: 1,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.47 : 5,133.57 = 1,232.66 : x
  2. Step 2: Convert to fraction form
    3,424.47/5,133.57 = 1,232.66/x
  3. Step 3: Cross multiply
    3,424.47x = 5,133.57 × 1,232.66
  4. Step 4: Simplify right side
    3,424.47x = 6,327,946.40
  5. Step 5: Solve for x
    x = 6,327,946.40/3,424.47
  6. Step 6: Final answer
    x = 1,847.86

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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.