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Finding the Fourth Proportional to 5,431.76, 7,495.82 and 2,947.76

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Solution

The fourth proportional to 5,431.76, 7,495.82 and 2,947.76 is: 4,067.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.76 : 7,495.82 = 2,947.76 : x
  2. Step 2: Convert to fraction form
    5,431.76/7,495.82 = 2,947.76/x
  3. Step 3: Cross multiply
    5,431.76x = 7,495.82 × 2,947.76
  4. Step 4: Simplify right side
    5,431.76x = 22,095,878.36
  5. Step 5: Solve for x
    x = 22,095,878.36/5,431.76
  6. Step 6: Final answer
    x = 4,067.90

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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.