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Finding the Fourth Proportional to 5,249.04, 7,849.23 and 4,065.63

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Solution

The fourth proportional to 5,249.04, 7,849.23 and 4,065.63 is: 6,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.04 : 7,849.23 = 4,065.63 : x
  2. Step 2: Convert to fraction form
    5,249.04/7,849.23 = 4,065.63/x
  3. Step 3: Cross multiply
    5,249.04x = 7,849.23 × 4,065.63
  4. Step 4: Simplify right side
    5,249.04x = 31,912,064.96
  5. Step 5: Solve for x
    x = 31,912,064.96/5,249.04
  6. Step 6: Final answer
    x = 6,079.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.