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Finding the Fourth Proportional to 5,697.16, 8,546.94 and 1,801

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Solution

The fourth proportional to 5,697.16, 8,546.94 and 1,801 is: 2,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.16 : 8,546.94 = 1,801 : x
  2. Step 2: Convert to fraction form
    5,697.16/8,546.94 = 1,801/x
  3. Step 3: Cross multiply
    5,697.16x = 8,546.94 × 1,801
  4. Step 4: Simplify right side
    5,697.16x = 15,393,038.94
  5. Step 5: Solve for x
    x = 15,393,038.94/5,697.16
  6. Step 6: Final answer
    x = 2,701.88

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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.