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Finding the Fourth Proportional to 3,473.64, 4,793.61 and 1,901.76

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Solution

The fourth proportional to 3,473.64, 4,793.61 and 1,901.76 is: 2,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.64 : 4,793.61 = 1,901.76 : x
  2. Step 2: Convert to fraction form
    3,473.64/4,793.61 = 1,901.76/x
  3. Step 3: Cross multiply
    3,473.64x = 4,793.61 × 1,901.76
  4. Step 4: Simplify right side
    3,473.64x = 9,116,295.75
  5. Step 5: Solve for x
    x = 9,116,295.75/3,473.64
  6. Step 6: Final answer
    x = 2,624.42

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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.