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Finding the Fourth Proportional to 5,471.94, 7,551.03 and 3,346.72

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Solution

The fourth proportional to 5,471.94, 7,551.03 and 3,346.72 is: 4,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.94 : 7,551.03 = 3,346.72 : x
  2. Step 2: Convert to fraction form
    5,471.94/7,551.03 = 3,346.72/x
  3. Step 3: Cross multiply
    5,471.94x = 7,551.03 × 3,346.72
  4. Step 4: Simplify right side
    5,471.94x = 25,271,183.12
  5. Step 5: Solve for x
    x = 25,271,183.12/5,471.94
  6. Step 6: Final answer
    x = 4,618.32

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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.