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Finding the Fourth Proportional to 5,930.76, 8,908.43 and 4,706.79

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Solution

The fourth proportional to 5,930.76, 8,908.43 and 4,706.79 is: 7,069.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.76 : 8,908.43 = 4,706.79 : x
  2. Step 2: Convert to fraction form
    5,930.76/8,908.43 = 4,706.79/x
  3. Step 3: Cross multiply
    5,930.76x = 8,908.43 × 4,706.79
  4. Step 4: Simplify right side
    5,930.76x = 41,930,109.24
  5. Step 5: Solve for x
    x = 41,930,109.24/5,930.76
  6. Step 6: Final answer
    x = 7,069.94

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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.