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Finding the Fourth Proportional to 5,788.26, 7,977.08 and 4,109.74

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Solution

The fourth proportional to 5,788.26, 7,977.08 and 4,109.74 is: 5,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.26 : 7,977.08 = 4,109.74 : x
  2. Step 2: Convert to fraction form
    5,788.26/7,977.08 = 4,109.74/x
  3. Step 3: Cross multiply
    5,788.26x = 7,977.08 × 4,109.74
  4. Step 4: Simplify right side
    5,788.26x = 32,783,715.09
  5. Step 5: Solve for x
    x = 32,783,715.09/5,788.26
  6. Step 6: Final answer
    x = 5,663.83

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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.