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Finding the Fourth Proportional to 4,899.53, 6,761.32 and 2,661.38

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Solution

The fourth proportional to 4,899.53, 6,761.32 and 2,661.38 is: 3,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.53 : 6,761.32 = 2,661.38 : x
  2. Step 2: Convert to fraction form
    4,899.53/6,761.32 = 2,661.38/x
  3. Step 3: Cross multiply
    4,899.53x = 6,761.32 × 2,661.38
  4. Step 4: Simplify right side
    4,899.53x = 17,994,452.07
  5. Step 5: Solve for x
    x = 17,994,452.07/4,899.53
  6. Step 6: Final answer
    x = 3,672.69

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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.