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Finding the Fourth Proportional to 6,301.64, 8,690.28 and 4,309.04

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Solution

The fourth proportional to 6,301.64, 8,690.28 and 4,309.04 is: 5,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.64 : 8,690.28 = 4,309.04 : x
  2. Step 2: Convert to fraction form
    6,301.64/8,690.28 = 4,309.04/x
  3. Step 3: Cross multiply
    6,301.64x = 8,690.28 × 4,309.04
  4. Step 4: Simplify right side
    6,301.64x = 37,446,764.13
  5. Step 5: Solve for x
    x = 37,446,764.13/6,301.64
  6. Step 6: Final answer
    x = 5,942.38

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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.