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Finding the Fourth Proportional to 4,999.60, 6,899.38 and 2,761.49

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Solution

The fourth proportional to 4,999.60, 6,899.38 and 2,761.49 is: 3,810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.60 : 6,899.38 = 2,761.49 : x
  2. Step 2: Convert to fraction form
    4,999.60/6,899.38 = 2,761.49/x
  3. Step 3: Cross multiply
    4,999.60x = 6,899.38 × 2,761.49
  4. Step 4: Simplify right side
    4,999.60x = 19,052,579.22
  5. Step 5: Solve for x
    x = 19,052,579.22/4,999.60
  6. Step 6: Final answer
    x = 3,810.82

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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.