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Finding the Fourth Proportional to 5,225.42, 7,212.06 and 3,964.25

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Solution

The fourth proportional to 5,225.42, 7,212.06 and 3,964.25 is: 5,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225.42 : 7,212.06 = 3,964.25 : x
  2. Step 2: Convert to fraction form
    5,225.42/7,212.06 = 3,964.25/x
  3. Step 3: Cross multiply
    5,225.42x = 7,212.06 × 3,964.25
  4. Step 4: Simplify right side
    5,225.42x = 28,590,408.86
  5. Step 5: Solve for x
    x = 28,590,408.86/5,225.42
  6. Step 6: Final answer
    x = 5,471.41

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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.