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Finding the Fourth Proportional to 5,433, 7,497.56 and 2,949

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Solution

The fourth proportional to 5,433, 7,497.56 and 2,949 is: 4,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,433 : 7,497.56 = 2,949 : x
  2. Step 2: Convert to fraction form
    5,433/7,497.56 = 2,949/x
  3. Step 3: Cross multiply
    5,433x = 7,497.56 × 2,949
  4. Step 4: Simplify right side
    5,433x = 22,110,304.44
  5. Step 5: Solve for x
    x = 22,110,304.44/5,433
  6. Step 6: Final answer
    x = 4,069.63

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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.