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Finding the Fourth Proportional to 3,499.74, 4,829.88 and 2,008.08

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Solution

The fourth proportional to 3,499.74, 4,829.88 and 2,008.08 is: 2,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.74 : 4,829.88 = 2,008.08 : x
  2. Step 2: Convert to fraction form
    3,499.74/4,829.88 = 2,008.08/x
  3. Step 3: Cross multiply
    3,499.74x = 4,829.88 × 2,008.08
  4. Step 4: Simplify right side
    3,499.74x = 9,698,785.43
  5. Step 5: Solve for x
    x = 9,698,785.43/3,499.74
  6. Step 6: Final answer
    x = 2,771.29

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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.