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Finding the Fourth Proportional to 5,323.54, 7,348.21 and 3,433.66

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Solution

The fourth proportional to 5,323.54, 7,348.21 and 3,433.66 is: 4,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.54 : 7,348.21 = 3,433.66 : x
  2. Step 2: Convert to fraction form
    5,323.54/7,348.21 = 3,433.66/x
  3. Step 3: Cross multiply
    5,323.54x = 7,348.21 × 3,433.66
  4. Step 4: Simplify right side
    5,323.54x = 25,231,282.36
  5. Step 5: Solve for x
    x = 25,231,282.36/5,323.54
  6. Step 6: Final answer
    x = 4,739.57

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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.