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Finding the Fourth Proportional to 5,729.73, 7,907.06 and 3,739.11

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Solution

The fourth proportional to 5,729.73, 7,907.06 and 3,739.11 is: 5,159.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.73 : 7,907.06 = 3,739.11 : x
  2. Step 2: Convert to fraction form
    5,729.73/7,907.06 = 3,739.11/x
  3. Step 3: Cross multiply
    5,729.73x = 7,907.06 × 3,739.11
  4. Step 4: Simplify right side
    5,729.73x = 29,565,348.42
  5. Step 5: Solve for x
    x = 29,565,348.42/5,729.73
  6. Step 6: Final answer
    x = 5,159.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.