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Finding the Fourth Proportional to 5,119.04, 7,064.24 and 3,256

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Solution

The fourth proportional to 5,119.04, 7,064.24 and 3,256 is: 4,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.04 : 7,064.24 = 3,256 : x
  2. Step 2: Convert to fraction form
    5,119.04/7,064.24 = 3,256/x
  3. Step 3: Cross multiply
    5,119.04x = 7,064.24 × 3,256
  4. Step 4: Simplify right side
    5,119.04x = 23,001,165.44
  5. Step 5: Solve for x
    x = 23,001,165.44/5,119.04
  6. Step 6: Final answer
    x = 4,493.26

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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.