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Finding the Fourth Proportional to 3,473.88, 5,210.46 and 1,913.37

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Solution

The fourth proportional to 3,473.88, 5,210.46 and 1,913.37 is: 2,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.88 : 5,210.46 = 1,913.37 : x
  2. Step 2: Convert to fraction form
    3,473.88/5,210.46 = 1,913.37/x
  3. Step 3: Cross multiply
    3,473.88x = 5,210.46 × 1,913.37
  4. Step 4: Simplify right side
    3,473.88x = 9,969,537.85
  5. Step 5: Solve for x
    x = 9,969,537.85/3,473.88
  6. Step 6: Final answer
    x = 2,869.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.