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Finding the Fourth Proportional to 3,425.81, 4,724.75 and 2,099.03

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Solution

The fourth proportional to 3,425.81, 4,724.75 and 2,099.03 is: 2,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.81 : 4,724.75 = 2,099.03 : x
  2. Step 2: Convert to fraction form
    3,425.81/4,724.75 = 2,099.03/x
  3. Step 3: Cross multiply
    3,425.81x = 4,724.75 × 2,099.03
  4. Step 4: Simplify right side
    3,425.81x = 9,917,373.62
  5. Step 5: Solve for x
    x = 9,917,373.62/3,425.81
  6. Step 6: Final answer
    x = 2,894.90

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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.