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Finding the Fourth Proportional to 5,739.61, 7,919.72 and 3,381.43

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Solution

The fourth proportional to 5,739.61, 7,919.72 and 3,381.43 is: 4,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.61 : 7,919.72 = 3,381.43 : x
  2. Step 2: Convert to fraction form
    5,739.61/7,919.72 = 3,381.43/x
  3. Step 3: Cross multiply
    5,739.61x = 7,919.72 × 3,381.43
  4. Step 4: Simplify right side
    5,739.61x = 26,779,954.77
  5. Step 5: Solve for x
    x = 26,779,954.77/5,739.61
  6. Step 6: Final answer
    x = 4,665.82

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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.