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Finding the Fourth Proportional to 4,638.43, 6,957.69 and 2,175

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Solution

The fourth proportional to 4,638.43, 6,957.69 and 2,175 is: 3,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.43 : 6,957.69 = 2,175 : x
  2. Step 2: Convert to fraction form
    4,638.43/6,957.69 = 2,175/x
  3. Step 3: Cross multiply
    4,638.43x = 6,957.69 × 2,175
  4. Step 4: Simplify right side
    4,638.43x = 15,132,975.75
  5. Step 5: Solve for x
    x = 15,132,975.75/4,638.43
  6. Step 6: Final answer
    x = 3,262.52

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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.