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Finding the Fourth Proportional to 4,695.70, 7,034.10 and 2,935.30

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Solution

The fourth proportional to 4,695.70, 7,034.10 and 2,935.30 is: 4,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.70 : 7,034.10 = 2,935.30 : x
  2. Step 2: Convert to fraction form
    4,695.70/7,034.10 = 2,935.30/x
  3. Step 3: Cross multiply
    4,695.70x = 7,034.10 × 2,935.30
  4. Step 4: Simplify right side
    4,695.70x = 20,647,193.73
  5. Step 5: Solve for x
    x = 20,647,193.73/4,695.70
  6. Step 6: Final answer
    x = 4,397.04

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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.