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Finding the Fourth Proportional to 5,530.74, 7,631.97 and 3,046.74

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Solution

The fourth proportional to 5,530.74, 7,631.97 and 3,046.74 is: 4,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.74 : 7,631.97 = 3,046.74 : x
  2. Step 2: Convert to fraction form
    5,530.74/7,631.97 = 3,046.74/x
  3. Step 3: Cross multiply
    5,530.74x = 7,631.97 × 3,046.74
  4. Step 4: Simplify right side
    5,530.74x = 23,252,628.28
  5. Step 5: Solve for x
    x = 23,252,628.28/5,530.74
  6. Step 6: Final answer
    x = 4,204.25

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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.