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Finding the Fourth Proportional to 5,563.92, 7,671.60 and 3,574.56

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Solution

The fourth proportional to 5,563.92, 7,671.60 and 3,574.56 is: 4,928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.92 : 7,671.60 = 3,574.56 : x
  2. Step 2: Convert to fraction form
    5,563.92/7,671.60 = 3,574.56/x
  3. Step 3: Cross multiply
    5,563.92x = 7,671.60 × 3,574.56
  4. Step 4: Simplify right side
    5,563.92x = 27,422,594.50
  5. Step 5: Solve for x
    x = 27,422,594.50/5,563.92
  6. Step 6: Final answer
    x = 4,928.65

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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.