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Finding the Fourth Proportional to 3,256, 4,884 and 947.52

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Solution

The fourth proportional to 3,256, 4,884 and 947.52 is: 1,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256 : 4,884 = 947.52 : x
  2. Step 2: Convert to fraction form
    3,256/4,884 = 947.52/x
  3. Step 3: Cross multiply
    3,256x = 4,884 × 947.52
  4. Step 4: Simplify right side
    3,256x = 4,627,687.68
  5. Step 5: Solve for x
    x = 4,627,687.68/3,256
  6. Step 6: Final answer
    x = 1,421.28

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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.