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Finding the Fourth Proportional to 4,321.58, 6,481.76 and 1,399.50

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Solution

The fourth proportional to 4,321.58, 6,481.76 and 1,399.50 is: 2,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.58 : 6,481.76 = 1,399.50 : x
  2. Step 2: Convert to fraction form
    4,321.58/6,481.76 = 1,399.50/x
  3. Step 3: Cross multiply
    4,321.58x = 6,481.76 × 1,399.50
  4. Step 4: Simplify right side
    4,321.58x = 9,071,216.12
  5. Step 5: Solve for x
    x = 9,071,216.12/4,321.58
  6. Step 6: Final answer
    x = 2,099.05

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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.