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Finding the Fourth Proportional to 3,597.64, 5,397 and 1,131.91

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Solution

The fourth proportional to 3,597.64, 5,397 and 1,131.91 is: 1,698.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.64 : 5,397 = 1,131.91 : x
  2. Step 2: Convert to fraction form
    3,597.64/5,397 = 1,131.91/x
  3. Step 3: Cross multiply
    3,597.64x = 5,397 × 1,131.91
  4. Step 4: Simplify right side
    3,597.64x = 6,108,918.27
  5. Step 5: Solve for x
    x = 6,108,918.27/3,597.64
  6. Step 6: Final answer
    x = 1,698.03

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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.