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Finding the Fourth Proportional to 5,409.42, 7,464.91 and 3,019.27

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Solution

The fourth proportional to 5,409.42, 7,464.91 and 3,019.27 is: 4,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.42 : 7,464.91 = 3,019.27 : x
  2. Step 2: Convert to fraction form
    5,409.42/7,464.91 = 3,019.27/x
  3. Step 3: Cross multiply
    5,409.42x = 7,464.91 × 3,019.27
  4. Step 4: Simplify right side
    5,409.42x = 22,538,541.49
  5. Step 5: Solve for x
    x = 22,538,541.49/5,409.42
  6. Step 6: Final answer
    x = 4,166.54

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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.