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Finding the Fourth Proportional to 4,622.64, 6,928.00 and 4,027.25

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Solution

The fourth proportional to 4,622.64, 6,928.00 and 4,027.25 is: 6,035.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.64 : 6,928.00 = 4,027.25 : x
  2. Step 2: Convert to fraction form
    4,622.64/6,928.00 = 4,027.25/x
  3. Step 3: Cross multiply
    4,622.64x = 6,928.00 × 4,027.25
  4. Step 4: Simplify right side
    4,622.64x = 27,900,810.35
  5. Step 5: Solve for x
    x = 27,900,810.35/4,622.64
  6. Step 6: Final answer
    x = 6,035.69

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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.