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Finding the Fourth Proportional to 3,607.97, 4,978.96 and 2,036.07

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Solution

The fourth proportional to 3,607.97, 4,978.96 and 2,036.07 is: 2,809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.97 : 4,978.96 = 2,036.07 : x
  2. Step 2: Convert to fraction form
    3,607.97/4,978.96 = 2,036.07/x
  3. Step 3: Cross multiply
    3,607.97x = 4,978.96 × 2,036.07
  4. Step 4: Simplify right side
    3,607.97x = 10,137,511.09
  5. Step 5: Solve for x
    x = 10,137,511.09/3,607.97
  6. Step 6: Final answer
    x = 2,809.75

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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.