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Finding the Fourth Proportional to 5,900, 8,150.94 and 4,405.32

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Solution

The fourth proportional to 5,900, 8,150.94 and 4,405.32 is: 6,086.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900 : 8,150.94 = 4,405.32 : x
  2. Step 2: Convert to fraction form
    5,900/8,150.94 = 4,405.32/x
  3. Step 3: Cross multiply
    5,900x = 8,150.94 × 4,405.32
  4. Step 4: Simplify right side
    5,900x = 35,907,499.00
  5. Step 5: Solve for x
    x = 35,907,499.00/5,900
  6. Step 6: Final answer
    x = 6,086.02

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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.