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Finding the Fourth Proportional to 3,640.63, 5,018.98 and 3,078.84

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Solution

The fourth proportional to 3,640.63, 5,018.98 and 3,078.84 is: 4,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.63 : 5,018.98 = 3,078.84 : x
  2. Step 2: Convert to fraction form
    3,640.63/5,018.98 = 3,078.84/x
  3. Step 3: Cross multiply
    3,640.63x = 5,018.98 × 3,078.84
  4. Step 4: Simplify right side
    3,640.63x = 15,452,636.38
  5. Step 5: Solve for x
    x = 15,452,636.38/3,640.63
  6. Step 6: Final answer
    x = 4,244.50

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Why These Related Problems?

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