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Finding the Fourth Proportional to 5,614.83, 7,754.67 and 4,370.94

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Solution

The fourth proportional to 5,614.83, 7,754.67 and 4,370.94 is: 6,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.83 : 7,754.67 = 4,370.94 : x
  2. Step 2: Convert to fraction form
    5,614.83/7,754.67 = 4,370.94/x
  3. Step 3: Cross multiply
    5,614.83x = 7,754.67 × 4,370.94
  4. Step 4: Simplify right side
    5,614.83x = 33,895,197.29
  5. Step 5: Solve for x
    x = 33,895,197.29/5,614.83
  6. Step 6: Final answer
    x = 6,036.73

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