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Finding the Fourth Proportional to 4,687.61, 6,466.03 and 3,196.22

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Solution

The fourth proportional to 4,687.61, 6,466.03 and 3,196.22 is: 4,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.61 : 6,466.03 = 3,196.22 : x
  2. Step 2: Convert to fraction form
    4,687.61/6,466.03 = 3,196.22/x
  3. Step 3: Cross multiply
    4,687.61x = 6,466.03 × 3,196.22
  4. Step 4: Simplify right side
    4,687.61x = 20,666,814.09
  5. Step 5: Solve for x
    x = 20,666,814.09/4,687.61
  6. Step 6: Final answer
    x = 4,408.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.