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Finding the Fourth Proportional to 5,322.31, 7,343.31 and 3,433.97

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Solution

The fourth proportional to 5,322.31, 7,343.31 and 3,433.97 is: 4,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.31 : 7,343.31 = 3,433.97 : x
  2. Step 2: Convert to fraction form
    5,322.31/7,343.31 = 3,433.97/x
  3. Step 3: Cross multiply
    5,322.31x = 7,343.31 × 3,433.97
  4. Step 4: Simplify right side
    5,322.31x = 25,216,697.51
  5. Step 5: Solve for x
    x = 25,216,697.51/5,322.31
  6. Step 6: Final answer
    x = 4,737.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.