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Finding the Fourth Proportional to 6,256, 8,633.28 and 3,461.76

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Solution

The fourth proportional to 6,256, 8,633.28 and 3,461.76 is: 4,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256 : 8,633.28 = 3,461.76 : x
  2. Step 2: Convert to fraction form
    6,256/8,633.28 = 3,461.76/x
  3. Step 3: Cross multiply
    6,256x = 8,633.28 × 3,461.76
  4. Step 4: Simplify right side
    6,256x = 29,886,343.37
  5. Step 5: Solve for x
    x = 29,886,343.37/6,256
  6. Step 6: Final answer
    x = 4,777.23

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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.