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Finding the Fourth Proportional to 3,498.83, 4,829.09 and 2,007.76

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Solution

The fourth proportional to 3,498.83, 4,829.09 and 2,007.76 is: 2,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.83 : 4,829.09 = 2,007.76 : x
  2. Step 2: Convert to fraction form
    3,498.83/4,829.09 = 2,007.76/x
  3. Step 3: Cross multiply
    3,498.83x = 4,829.09 × 2,007.76
  4. Step 4: Simplify right side
    3,498.83x = 9,695,653.74
  5. Step 5: Solve for x
    x = 9,695,653.74/3,498.83
  6. Step 6: Final answer
    x = 2,771.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.