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Finding the Fourth Proportional to 5,323.50, 7,346.41 and 2,966.20

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Solution

The fourth proportional to 5,323.50, 7,346.41 and 2,966.20 is: 4,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.50 : 7,346.41 = 2,966.20 : x
  2. Step 2: Convert to fraction form
    5,323.50/7,346.41 = 2,966.20/x
  3. Step 3: Cross multiply
    5,323.50x = 7,346.41 × 2,966.20
  4. Step 4: Simplify right side
    5,323.50x = 21,790,921.34
  5. Step 5: Solve for x
    x = 21,790,921.34/5,323.50
  6. Step 6: Final answer
    x = 4,093.34

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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.