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Finding the Fourth Proportional to 5,323.34, 7,972.82 and 2,551.94

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Solution

The fourth proportional to 5,323.34, 7,972.82 and 2,551.94 is: 3,822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.34 : 7,972.82 = 2,551.94 : x
  2. Step 2: Convert to fraction form
    5,323.34/7,972.82 = 2,551.94/x
  3. Step 3: Cross multiply
    5,323.34x = 7,972.82 × 2,551.94
  4. Step 4: Simplify right side
    5,323.34x = 20,346,158.27
  5. Step 5: Solve for x
    x = 20,346,158.27/5,323.34
  6. Step 6: Final answer
    x = 3,822.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.