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Finding the Fourth Proportional to 5,431.42, 7,495.27 and 2,947.42

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Solution

The fourth proportional to 5,431.42, 7,495.27 and 2,947.42 is: 4,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.42 : 7,495.27 = 2,947.42 : x
  2. Step 2: Convert to fraction form
    5,431.42/7,495.27 = 2,947.42/x
  3. Step 3: Cross multiply
    5,431.42x = 7,495.27 × 2,947.42
  4. Step 4: Simplify right side
    5,431.42x = 22,091,708.70
  5. Step 5: Solve for x
    x = 22,091,708.70/5,431.42
  6. Step 6: Final answer
    x = 4,067.39

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1.5x scale

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.