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Finding the Fourth Proportional to 4,369.32, 6,553.98 and 1,448.46

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Solution

The fourth proportional to 4,369.32, 6,553.98 and 1,448.46 is: 2,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369.32 : 6,553.98 = 1,448.46 : x
  2. Step 2: Convert to fraction form
    4,369.32/6,553.98 = 1,448.46/x
  3. Step 3: Cross multiply
    4,369.32x = 6,553.98 × 1,448.46
  4. Step 4: Simplify right side
    4,369.32x = 9,493,177.87
  5. Step 5: Solve for x
    x = 9,493,177.87/4,369.32
  6. Step 6: Final answer
    x = 2,172.69

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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.