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Finding the Fourth Proportional to 5,644.36, 7,784.94 and 4,944.52

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Solution

The fourth proportional to 5,644.36, 7,784.94 and 4,944.52 is: 6,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.36 : 7,784.94 = 4,944.52 : x
  2. Step 2: Convert to fraction form
    5,644.36/7,784.94 = 4,944.52/x
  3. Step 3: Cross multiply
    5,644.36x = 7,784.94 × 4,944.52
  4. Step 4: Simplify right side
    5,644.36x = 38,492,791.53
  5. Step 5: Solve for x
    x = 38,492,791.53/5,644.36
  6. Step 6: Final answer
    x = 6,819.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.