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Finding the Fourth Proportional to 3,678.82, 5,078.65 and 2,837.63

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Solution

The fourth proportional to 3,678.82, 5,078.65 and 2,837.63 is: 3,917.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.82 : 5,078.65 = 2,837.63 : x
  2. Step 2: Convert to fraction form
    3,678.82/5,078.65 = 2,837.63/x
  3. Step 3: Cross multiply
    3,678.82x = 5,078.65 × 2,837.63
  4. Step 4: Simplify right side
    3,678.82x = 14,411,340.52
  5. Step 5: Solve for x
    x = 14,411,340.52/3,678.82
  6. Step 6: Final answer
    x = 3,917.38

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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.