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Finding the Fourth Proportional to 5,164.44, 7,742.72 and 2,569.20

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Solution

The fourth proportional to 5,164.44, 7,742.72 and 2,569.20 is: 3,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.44 : 7,742.72 = 2,569.20 : x
  2. Step 2: Convert to fraction form
    5,164.44/7,742.72 = 2,569.20/x
  3. Step 3: Cross multiply
    5,164.44x = 7,742.72 × 2,569.20
  4. Step 4: Simplify right side
    5,164.44x = 19,892,596.22
  5. Step 5: Solve for x
    x = 19,892,596.22/5,164.44
  6. Step 6: Final answer
    x = 3,851.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.