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Finding the Fourth Proportional to 5,297.70, 7,947.21 and 1,599.92

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Solution

The fourth proportional to 5,297.70, 7,947.21 and 1,599.92 is: 2,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.70 : 7,947.21 = 1,599.92 : x
  2. Step 2: Convert to fraction form
    5,297.70/7,947.21 = 1,599.92/x
  3. Step 3: Cross multiply
    5,297.70x = 7,947.21 × 1,599.92
  4. Step 4: Simplify right side
    5,297.70x = 12,714,900.22
  5. Step 5: Solve for x
    x = 12,714,900.22/5,297.70
  6. Step 6: Final answer
    x = 2,400.08

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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.