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Finding the Fourth Proportional to 5,536.50, 8,304.72 and 1,737.43

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Solution

The fourth proportional to 5,536.50, 8,304.72 and 1,737.43 is: 2,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.50 : 8,304.72 = 1,737.43 : x
  2. Step 2: Convert to fraction form
    5,536.50/8,304.72 = 1,737.43/x
  3. Step 3: Cross multiply
    5,536.50x = 8,304.72 × 1,737.43
  4. Step 4: Simplify right side
    5,536.50x = 14,428,842.39
  5. Step 5: Solve for x
    x = 14,428,842.39/5,536.50
  6. Step 6: Final answer
    x = 2,606.13

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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.