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Finding the Fourth Proportional to 4,714.98, 7,069.92 and 1,940.82

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Solution

The fourth proportional to 4,714.98, 7,069.92 and 1,940.82 is: 2,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.98 : 7,069.92 = 1,940.82 : x
  2. Step 2: Convert to fraction form
    4,714.98/7,069.92 = 1,940.82/x
  3. Step 3: Cross multiply
    4,714.98x = 7,069.92 × 1,940.82
  4. Step 4: Simplify right side
    4,714.98x = 13,721,442.13
  5. Step 5: Solve for x
    x = 13,721,442.13/4,714.98
  6. Step 6: Final answer
    x = 2,910.18

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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.