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Finding the Fourth Proportional to 5,466.89, 7,544.66 and 3,228.16

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Solution

The fourth proportional to 5,466.89, 7,544.66 and 3,228.16 is: 4,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.89 : 7,544.66 = 3,228.16 : x
  2. Step 2: Convert to fraction form
    5,466.89/7,544.66 = 3,228.16/x
  3. Step 3: Cross multiply
    5,466.89x = 7,544.66 × 3,228.16
  4. Step 4: Simplify right side
    5,466.89x = 24,355,369.63
  5. Step 5: Solve for x
    x = 24,355,369.63/5,466.89
  6. Step 6: Final answer
    x = 4,455.07

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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.