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Finding the Fourth Proportional to 3,833, 5,290.18 and 2,899.88

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Solution

The fourth proportional to 3,833, 5,290.18 and 2,899.88 is: 4,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833 : 5,290.18 = 2,899.88 : x
  2. Step 2: Convert to fraction form
    3,833/5,290.18 = 2,899.88/x
  3. Step 3: Cross multiply
    3,833x = 5,290.18 × 2,899.88
  4. Step 4: Simplify right side
    3,833x = 15,340,887.18
  5. Step 5: Solve for x
    x = 15,340,887.18/3,833
  6. Step 6: Final answer
    x = 4,002.32

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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.