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Finding the Fourth Proportional to 5,296.71, 7,935.03 and 3,536.40

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Solution

The fourth proportional to 5,296.71, 7,935.03 and 3,536.40 is: 5,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.71 : 7,935.03 = 3,536.40 : x
  2. Step 2: Convert to fraction form
    5,296.71/7,935.03 = 3,536.40/x
  3. Step 3: Cross multiply
    5,296.71x = 7,935.03 × 3,536.40
  4. Step 4: Simplify right side
    5,296.71x = 28,061,440.09
  5. Step 5: Solve for x
    x = 28,061,440.09/5,296.71
  6. Step 6: Final answer
    x = 5,297.90

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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.