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Finding the Fourth Proportional to 3,777.39, 5,640.64 and 3,085.44

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Solution

The fourth proportional to 3,777.39, 5,640.64 and 3,085.44 is: 4,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.39 : 5,640.64 = 3,085.44 : x
  2. Step 2: Convert to fraction form
    3,777.39/5,640.64 = 3,085.44/x
  3. Step 3: Cross multiply
    3,777.39x = 5,640.64 × 3,085.44
  4. Step 4: Simplify right side
    3,777.39x = 17,403,856.28
  5. Step 5: Solve for x
    x = 17,403,856.28/3,777.39
  6. Step 6: Final answer
    x = 4,607.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.