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Finding the Fourth Proportional to 5,926.34, 8,889.97 and 1,766.03

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Solution

The fourth proportional to 5,926.34, 8,889.97 and 1,766.03 is: 2,649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.34 : 8,889.97 = 1,766.03 : x
  2. Step 2: Convert to fraction form
    5,926.34/8,889.97 = 1,766.03/x
  3. Step 3: Cross multiply
    5,926.34x = 8,889.97 × 1,766.03
  4. Step 4: Simplify right side
    5,926.34x = 15,699,953.72
  5. Step 5: Solve for x
    x = 15,699,953.72/5,926.34
  6. Step 6: Final answer
    x = 2,649.18

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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.