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Finding the Fourth Proportional to 4,706.78, 7,060.97 and 1,934.96

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Solution

The fourth proportional to 4,706.78, 7,060.97 and 1,934.96 is: 2,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.78 : 7,060.97 = 1,934.96 : x
  2. Step 2: Convert to fraction form
    4,706.78/7,060.97 = 1,934.96/x
  3. Step 3: Cross multiply
    4,706.78x = 7,060.97 × 1,934.96
  4. Step 4: Simplify right side
    4,706.78x = 13,662,664.04
  5. Step 5: Solve for x
    x = 13,662,664.04/4,706.78
  6. Step 6: Final answer
    x = 2,902.77

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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.