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Finding the Fourth Proportional to 4,564.36, 6,301.38 and 2,797

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Solution

The fourth proportional to 4,564.36, 6,301.38 and 2,797 is: 3,861.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.36 : 6,301.38 = 2,797 : x
  2. Step 2: Convert to fraction form
    4,564.36/6,301.38 = 2,797/x
  3. Step 3: Cross multiply
    4,564.36x = 6,301.38 × 2,797
  4. Step 4: Simplify right side
    4,564.36x = 17,624,959.86
  5. Step 5: Solve for x
    x = 17,624,959.86/4,564.36
  6. Step 6: Final answer
    x = 3,861.43

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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.