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Finding the Fourth Proportional to 5,530.50, 7,632.09 and 3,046.50

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Solution

The fourth proportional to 5,530.50, 7,632.09 and 3,046.50 is: 4,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.50 : 7,632.09 = 3,046.50 : x
  2. Step 2: Convert to fraction form
    5,530.50/7,632.09 = 3,046.50/x
  3. Step 3: Cross multiply
    5,530.50x = 7,632.09 × 3,046.50
  4. Step 4: Simplify right side
    5,530.50x = 23,251,162.19
  5. Step 5: Solve for x
    x = 23,251,162.19/5,530.50
  6. Step 6: Final answer
    x = 4,204.17

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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.