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Finding the Fourth Proportional to 5,855.29, 8,077.93 and 3,614.83

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Solution

The fourth proportional to 5,855.29, 8,077.93 and 3,614.83 is: 4,987.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.29 : 8,077.93 = 3,614.83 : x
  2. Step 2: Convert to fraction form
    5,855.29/8,077.93 = 3,614.83/x
  3. Step 3: Cross multiply
    5,855.29x = 8,077.93 × 3,614.83
  4. Step 4: Simplify right side
    5,855.29x = 29,200,314.47
  5. Step 5: Solve for x
    x = 29,200,314.47/5,855.29
  6. Step 6: Final answer
    x = 4,987.00

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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.