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Finding the Fourth Proportional to 5,243.54, 7,896.54 and 4,729.46

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Solution

The fourth proportional to 5,243.54, 7,896.54 and 4,729.46 is: 7,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.54 : 7,896.54 = 4,729.46 : x
  2. Step 2: Convert to fraction form
    5,243.54/7,896.54 = 4,729.46/x
  3. Step 3: Cross multiply
    5,243.54x = 7,896.54 × 4,729.46
  4. Step 4: Simplify right side
    5,243.54x = 37,346,370.07
  5. Step 5: Solve for x
    x = 37,346,370.07/5,243.54
  6. Step 6: Final answer
    x = 7,122.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.