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Finding the Fourth Proportional to 4,638.77, 6,956.60 and 2,138.93

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Solution

The fourth proportional to 4,638.77, 6,956.60 and 2,138.93 is: 3,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.77 : 6,956.60 = 2,138.93 : x
  2. Step 2: Convert to fraction form
    4,638.77/6,956.60 = 2,138.93/x
  3. Step 3: Cross multiply
    4,638.77x = 6,956.60 × 2,138.93
  4. Step 4: Simplify right side
    4,638.77x = 14,879,677.09
  5. Step 5: Solve for x
    x = 14,879,677.09/4,638.77
  6. Step 6: Final answer
    x = 3,207.68

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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.