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Finding the Fourth Proportional to 3,499.71, 4,829.80 and 2,007.61

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Solution

The fourth proportional to 3,499.71, 4,829.80 and 2,007.61 is: 2,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.71 : 4,829.80 = 2,007.61 : x
  2. Step 2: Convert to fraction form
    3,499.71/4,829.80 = 2,007.61/x
  3. Step 3: Cross multiply
    3,499.71x = 4,829.80 × 2,007.61
  4. Step 4: Simplify right side
    3,499.71x = 9,696,344.74
  5. Step 5: Solve for x
    x = 9,696,344.74/3,499.71
  6. Step 6: Final answer
    x = 2,770.62

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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.