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Finding the Fourth Proportional to 6,484.41, 8,936.06 and 4,491.27

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Solution

The fourth proportional to 6,484.41, 8,936.06 and 4,491.27 is: 6,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.41 : 8,936.06 = 4,491.27 : x
  2. Step 2: Convert to fraction form
    6,484.41/8,936.06 = 4,491.27/x
  3. Step 3: Cross multiply
    6,484.41x = 8,936.06 × 4,491.27
  4. Step 4: Simplify right side
    6,484.41x = 40,134,235.74
  5. Step 5: Solve for x
    x = 40,134,235.74/6,484.41
  6. Step 6: Final answer
    x = 6,189.34

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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.