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Finding the Fourth Proportional to 6,454, 8,906.46 and 3,659.50

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Solution

The fourth proportional to 6,454, 8,906.46 and 3,659.50 is: 5,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454 : 8,906.46 = 3,659.50 : x
  2. Step 2: Convert to fraction form
    6,454/8,906.46 = 3,659.50/x
  3. Step 3: Cross multiply
    6,454x = 8,906.46 × 3,659.50
  4. Step 4: Simplify right side
    6,454x = 32,593,190.37
  5. Step 5: Solve for x
    x = 32,593,190.37/6,454
  6. Step 6: Final answer
    x = 5,050.08

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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.