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Finding the Fourth Proportional to 4,731.24, 7,097.97 and 1,444.33

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Solution

The fourth proportional to 4,731.24, 7,097.97 and 1,444.33 is: 2,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.24 : 7,097.97 = 1,444.33 : x
  2. Step 2: Convert to fraction form
    4,731.24/7,097.97 = 1,444.33/x
  3. Step 3: Cross multiply
    4,731.24x = 7,097.97 × 1,444.33
  4. Step 4: Simplify right side
    4,731.24x = 10,251,814.47
  5. Step 5: Solve for x
    x = 10,251,814.47/4,731.24
  6. Step 6: Final answer
    x = 2,166.84

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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.