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Finding the Fourth Proportional to 3,536.02, 5,304.57 and 3,536.02

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Solution

The fourth proportional to 3,536.02, 5,304.57 and 3,536.02 is: 5,304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.02 : 5,304.57 = 3,536.02 : x
  2. Step 2: Convert to fraction form
    3,536.02/5,304.57 = 3,536.02/x
  3. Step 3: Cross multiply
    3,536.02x = 5,304.57 × 3,536.02
  4. Step 4: Simplify right side
    3,536.02x = 18,757,065.61
  5. Step 5: Solve for x
    x = 18,757,065.61/3,536.02
  6. Step 6: Final answer
    x = 5,304.57

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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.