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Finding the Fourth Proportional to 5,926.26, 8,892 and 3,152.28

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Solution

The fourth proportional to 5,926.26, 8,892 and 3,152.28 is: 4,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.26 : 8,892 = 3,152.28 : x
  2. Step 2: Convert to fraction form
    5,926.26/8,892 = 3,152.28/x
  3. Step 3: Cross multiply
    5,926.26x = 8,892 × 3,152.28
  4. Step 4: Simplify right side
    5,926.26x = 28,030,073.76
  5. Step 5: Solve for x
    x = 28,030,073.76/5,926.26
  6. Step 6: Final answer
    x = 4,729.81

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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.