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Finding the Fourth Proportional to 4,481.54, 6,718.46 and 1,559.46

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Solution

The fourth proportional to 4,481.54, 6,718.46 and 1,559.46 is: 2,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,481.54 : 6,718.46 = 1,559.46 : x
  2. Step 2: Convert to fraction form
    4,481.54/6,718.46 = 1,559.46/x
  3. Step 3: Cross multiply
    4,481.54x = 6,718.46 × 1,559.46
  4. Step 4: Simplify right side
    4,481.54x = 10,477,169.63
  5. Step 5: Solve for x
    x = 10,477,169.63/4,481.54
  6. Step 6: Final answer
    x = 2,337.85

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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.