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Finding the Fourth Proportional to 4,638.35, 6,951.67 and 2,003.22

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Solution

The fourth proportional to 4,638.35, 6,951.67 and 2,003.22 is: 3,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.35 : 6,951.67 = 2,003.22 : x
  2. Step 2: Convert to fraction form
    4,638.35/6,951.67 = 2,003.22/x
  3. Step 3: Cross multiply
    4,638.35x = 6,951.67 × 2,003.22
  4. Step 4: Simplify right side
    4,638.35x = 13,925,719.37
  5. Step 5: Solve for x
    x = 13,925,719.37/4,638.35
  6. Step 6: Final answer
    x = 3,002.30

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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.