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Finding the Fourth Proportional to 6,491.43, 8,959.04 and 3,659.35

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Solution

The fourth proportional to 6,491.43, 8,959.04 and 3,659.35 is: 5,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.43 : 8,959.04 = 3,659.35 : x
  2. Step 2: Convert to fraction form
    6,491.43/8,959.04 = 3,659.35/x
  3. Step 3: Cross multiply
    6,491.43x = 8,959.04 × 3,659.35
  4. Step 4: Simplify right side
    6,491.43x = 32,784,263.02
  5. Step 5: Solve for x
    x = 32,784,263.02/6,491.43
  6. Step 6: Final answer
    x = 5,050.39

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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.