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Finding the Fourth Proportional to 5,381.71, 7,427.37 and 3,144.31

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Solution

The fourth proportional to 5,381.71, 7,427.37 and 3,144.31 is: 4,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.71 : 7,427.37 = 3,144.31 : x
  2. Step 2: Convert to fraction form
    5,381.71/7,427.37 = 3,144.31/x
  3. Step 3: Cross multiply
    5,381.71x = 7,427.37 × 3,144.31
  4. Step 4: Simplify right side
    5,381.71x = 23,353,953.76
  5. Step 5: Solve for x
    x = 23,353,953.76/5,381.71
  6. Step 6: Final answer
    x = 4,339.50

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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.