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Finding the Fourth Proportional to 3,473.90, 4,793.88 and 1,901.96

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Solution

The fourth proportional to 3,473.90, 4,793.88 and 1,901.96 is: 2,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.90 : 4,793.88 = 1,901.96 : x
  2. Step 2: Convert to fraction form
    3,473.90/4,793.88 = 1,901.96/x
  3. Step 3: Cross multiply
    3,473.90x = 4,793.88 × 1,901.96
  4. Step 4: Simplify right side
    3,473.90x = 9,117,768.00
  5. Step 5: Solve for x
    x = 9,117,768.00/3,473.90
  6. Step 6: Final answer
    x = 2,624.65

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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.