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Finding the Fourth Proportional to 5,579.94, 8,361 and 2,947.34

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Solution

The fourth proportional to 5,579.94, 8,361 and 2,947.34 is: 4,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.94 : 8,361 = 2,947.34 : x
  2. Step 2: Convert to fraction form
    5,579.94/8,361 = 2,947.34/x
  3. Step 3: Cross multiply
    5,579.94x = 8,361 × 2,947.34
  4. Step 4: Simplify right side
    5,579.94x = 24,642,709.74
  5. Step 5: Solve for x
    x = 24,642,709.74/5,579.94
  6. Step 6: Final answer
    x = 4,416.30

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Why These Related Problems?

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