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Finding the Fourth Proportional to 5,457.31, 7,534.43 and 3,364.27

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Solution

The fourth proportional to 5,457.31, 7,534.43 and 3,364.27 is: 4,644.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.31 : 7,534.43 = 3,364.27 : x
  2. Step 2: Convert to fraction form
    5,457.31/7,534.43 = 3,364.27/x
  3. Step 3: Cross multiply
    5,457.31x = 7,534.43 × 3,364.27
  4. Step 4: Simplify right side
    5,457.31x = 25,347,856.82
  5. Step 5: Solve for x
    x = 25,347,856.82/5,457.31
  6. Step 6: Final answer
    x = 4,644.75

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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.