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Finding the Fourth Proportional to 4,638.41, 6,946.08 and 3,245.22

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Solution

The fourth proportional to 4,638.41, 6,946.08 and 3,245.22 is: 4,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.41 : 6,946.08 = 3,245.22 : x
  2. Step 2: Convert to fraction form
    4,638.41/6,946.08 = 3,245.22/x
  3. Step 3: Cross multiply
    4,638.41x = 6,946.08 × 3,245.22
  4. Step 4: Simplify right side
    4,638.41x = 22,541,549.31
  5. Step 5: Solve for x
    x = 22,541,549.31/4,638.41
  6. Step 6: Final answer
    x = 4,859.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.