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Finding the Fourth Proportional to 3,473.96, 4,794.02 and 1,902.05

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Solution

The fourth proportional to 3,473.96, 4,794.02 and 1,902.05 is: 2,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.96 : 4,794.02 = 1,902.05 : x
  2. Step 2: Convert to fraction form
    3,473.96/4,794.02 = 1,902.05/x
  3. Step 3: Cross multiply
    3,473.96x = 4,794.02 × 1,902.05
  4. Step 4: Simplify right side
    3,473.96x = 9,118,457.37
  5. Step 5: Solve for x
    x = 9,118,457.37/3,473.96
  6. Step 6: Final answer
    x = 2,624.81

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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.