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Finding the Fourth Proportional to 5,790.26, 7,979.84 and 4,111.74

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Solution

The fourth proportional to 5,790.26, 7,979.84 and 4,111.74 is: 5,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.26 : 7,979.84 = 4,111.74 : x
  2. Step 2: Convert to fraction form
    5,790.26/7,979.84 = 4,111.74/x
  3. Step 3: Cross multiply
    5,790.26x = 7,979.84 × 4,111.74
  4. Step 4: Simplify right side
    5,790.26x = 32,811,027.32
  5. Step 5: Solve for x
    x = 32,811,027.32/5,790.26
  6. Step 6: Final answer
    x = 5,666.59

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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.