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Finding the Fourth Proportional to 3,346.02, 4,619.97 and 3,097.22

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Solution

The fourth proportional to 3,346.02, 4,619.97 and 3,097.22 is: 4,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.02 : 4,619.97 = 3,097.22 : x
  2. Step 2: Convert to fraction form
    3,346.02/4,619.97 = 3,097.22/x
  3. Step 3: Cross multiply
    3,346.02x = 4,619.97 × 3,097.22
  4. Step 4: Simplify right side
    3,346.02x = 14,309,040.38
  5. Step 5: Solve for x
    x = 14,309,040.38/3,346.02
  6. Step 6: Final answer
    x = 4,276.44

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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.