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Finding the Fourth Proportional to 4,706.50, 7,059.75 and 2,654.50

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Solution

The fourth proportional to 4,706.50, 7,059.75 and 2,654.50 is: 3,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.50 : 7,059.75 = 2,654.50 : x
  2. Step 2: Convert to fraction form
    4,706.50/7,059.75 = 2,654.50/x
  3. Step 3: Cross multiply
    4,706.50x = 7,059.75 × 2,654.50
  4. Step 4: Simplify right side
    4,706.50x = 18,740,106.38
  5. Step 5: Solve for x
    x = 18,740,106.38/4,706.50
  6. Step 6: Final answer
    x = 3,981.75

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Why These Related Problems?

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