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Finding the Fourth Proportional to 5,532.31, 7,634.47 and 3,014.39

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Solution

The fourth proportional to 5,532.31, 7,634.47 and 3,014.39 is: 4,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.31 : 7,634.47 = 3,014.39 : x
  2. Step 2: Convert to fraction form
    5,532.31/7,634.47 = 3,014.39/x
  3. Step 3: Cross multiply
    5,532.31x = 7,634.47 × 3,014.39
  4. Step 4: Simplify right side
    5,532.31x = 23,013,270.02
  5. Step 5: Solve for x
    x = 23,013,270.02/5,532.31
  6. Step 6: Final answer
    x = 4,159.79

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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.