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Finding the Fourth Proportional to 5,953.64, 8,923.98 and 4,001

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Solution

The fourth proportional to 5,953.64, 8,923.98 and 4,001 is: 5,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.64 : 8,923.98 = 4,001 : x
  2. Step 2: Convert to fraction form
    5,953.64/8,923.98 = 4,001/x
  3. Step 3: Cross multiply
    5,953.64x = 8,923.98 × 4,001
  4. Step 4: Simplify right side
    5,953.64x = 35,704,843.98
  5. Step 5: Solve for x
    x = 35,704,843.98/5,953.64
  6. Step 6: Final answer
    x = 5,997.15

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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.