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Finding the Fourth Proportional to 3,473.66, 5,208.86 and 2,013.24

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Solution

The fourth proportional to 3,473.66, 5,208.86 and 2,013.24 is: 3,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.66 : 5,208.86 = 2,013.24 : x
  2. Step 2: Convert to fraction form
    3,473.66/5,208.86 = 2,013.24/x
  3. Step 3: Cross multiply
    3,473.66x = 5,208.86 × 2,013.24
  4. Step 4: Simplify right side
    3,473.66x = 10,486,685.31
  5. Step 5: Solve for x
    x = 10,486,685.31/3,473.66
  6. Step 6: Final answer
    x = 3,018.92

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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.