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Finding the Fourth Proportional to 4,830.64, 6,671.72 and 3,256

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Solution

The fourth proportional to 4,830.64, 6,671.72 and 3,256 is: 4,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.64 : 6,671.72 = 3,256 : x
  2. Step 2: Convert to fraction form
    4,830.64/6,671.72 = 3,256/x
  3. Step 3: Cross multiply
    4,830.64x = 6,671.72 × 3,256
  4. Step 4: Simplify right side
    4,830.64x = 21,723,120.32
  5. Step 5: Solve for x
    x = 21,723,120.32/4,830.64
  6. Step 6: Final answer
    x = 4,496.94

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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.