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Finding the Fourth Proportional to 4,498.90, 6,206.83 and 2,820.38

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Solution

The fourth proportional to 4,498.90, 6,206.83 and 2,820.38 is: 3,891.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.90 : 6,206.83 = 2,820.38 : x
  2. Step 2: Convert to fraction form
    4,498.90/6,206.83 = 2,820.38/x
  3. Step 3: Cross multiply
    4,498.90x = 6,206.83 × 2,820.38
  4. Step 4: Simplify right side
    4,498.90x = 17,505,581.11
  5. Step 5: Solve for x
    x = 17,505,581.11/4,498.90
  6. Step 6: Final answer
    x = 3,891.08

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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.