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Finding the Fourth Proportional to 5,722.26, 7,897.73 and 4,154.91

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Solution

The fourth proportional to 5,722.26, 7,897.73 and 4,154.91 is: 5,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.26 : 7,897.73 = 4,154.91 : x
  2. Step 2: Convert to fraction form
    5,722.26/7,897.73 = 4,154.91/x
  3. Step 3: Cross multiply
    5,722.26x = 7,897.73 × 4,154.91
  4. Step 4: Simplify right side
    5,722.26x = 32,814,357.35
  5. Step 5: Solve for x
    x = 32,814,357.35/5,722.26
  6. Step 6: Final answer
    x = 5,734.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.