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Finding the Fourth Proportional to 3,640.47, 5,018.76 and 3,078.69

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Solution

The fourth proportional to 3,640.47, 5,018.76 and 3,078.69 is: 4,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.47 : 5,018.76 = 3,078.69 : x
  2. Step 2: Convert to fraction form
    3,640.47/5,018.76 = 3,078.69/x
  3. Step 3: Cross multiply
    3,640.47x = 5,018.76 × 3,078.69
  4. Step 4: Simplify right side
    3,640.47x = 15,451,206.22
  5. Step 5: Solve for x
    x = 15,451,206.22/3,640.47
  6. Step 6: Final answer
    x = 4,244.29

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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.