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Finding the Fourth Proportional to 5,300.88, 7,947.66 and 3,546.48

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Solution

The fourth proportional to 5,300.88, 7,947.66 and 3,546.48 is: 5,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.88 : 7,947.66 = 3,546.48 : x
  2. Step 2: Convert to fraction form
    5,300.88/7,947.66 = 3,546.48/x
  3. Step 3: Cross multiply
    5,300.88x = 7,947.66 × 3,546.48
  4. Step 4: Simplify right side
    5,300.88x = 28,186,217.24
  5. Step 5: Solve for x
    x = 28,186,217.24/5,300.88
  6. Step 6: Final answer
    x = 5,317.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.