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Finding the Fourth Proportional to 5,297.97, 7,947.76 and 1,599.72

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Solution

The fourth proportional to 5,297.97, 7,947.76 and 1,599.72 is: 2,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.97 : 7,947.76 = 1,599.72 : x
  2. Step 2: Convert to fraction form
    5,297.97/7,947.76 = 1,599.72/x
  3. Step 3: Cross multiply
    5,297.97x = 7,947.76 × 1,599.72
  4. Step 4: Simplify right side
    5,297.97x = 12,714,190.63
  5. Step 5: Solve for x
    x = 12,714,190.63/5,297.97
  6. Step 6: Final answer
    x = 2,399.82

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1.5x scale

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.