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Finding the Fourth Proportional to 4,638.06, 6,956.04 and 1,350.42

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Solution

The fourth proportional to 4,638.06, 6,956.04 and 1,350.42 is: 2,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.06 : 6,956.04 = 1,350.42 : x
  2. Step 2: Convert to fraction form
    4,638.06/6,956.04 = 1,350.42/x
  3. Step 3: Cross multiply
    4,638.06x = 6,956.04 × 1,350.42
  4. Step 4: Simplify right side
    4,638.06x = 9,393,575.54
  5. Step 5: Solve for x
    x = 9,393,575.54/4,638.06
  6. Step 6: Final answer
    x = 2,025.32

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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.