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Finding the Fourth Proportional to 4,650.64, 6,964.07 and 2,568.33

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Solution

The fourth proportional to 4,650.64, 6,964.07 and 2,568.33 is: 3,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.64 : 6,964.07 = 2,568.33 : x
  2. Step 2: Convert to fraction form
    4,650.64/6,964.07 = 2,568.33/x
  3. Step 3: Cross multiply
    4,650.64x = 6,964.07 × 2,568.33
  4. Step 4: Simplify right side
    4,650.64x = 17,886,017.06
  5. Step 5: Solve for x
    x = 17,886,017.06/4,650.64
  6. Step 6: Final answer
    x = 3,845.93

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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.