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Finding the Fourth Proportional to 3,627.84, 5,006.38 and 2,055.95

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Solution

The fourth proportional to 3,627.84, 5,006.38 and 2,055.95 is: 2,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.84 : 5,006.38 = 2,055.95 : x
  2. Step 2: Convert to fraction form
    3,627.84/5,006.38 = 2,055.95/x
  3. Step 3: Cross multiply
    3,627.84x = 5,006.38 × 2,055.95
  4. Step 4: Simplify right side
    3,627.84x = 10,292,866.96
  5. Step 5: Solve for x
    x = 10,292,866.96/3,627.84
  6. Step 6: Final answer
    x = 2,837.19

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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.