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Finding the Fourth Proportional to 5,486.94, 8,230.36 and 1,538.19

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Solution

The fourth proportional to 5,486.94, 8,230.36 and 1,538.19 is: 2,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.94 : 8,230.36 = 1,538.19 : x
  2. Step 2: Convert to fraction form
    5,486.94/8,230.36 = 1,538.19/x
  3. Step 3: Cross multiply
    5,486.94x = 8,230.36 × 1,538.19
  4. Step 4: Simplify right side
    5,486.94x = 12,659,856.49
  5. Step 5: Solve for x
    x = 12,659,856.49/5,486.94
  6. Step 6: Final answer
    x = 2,307.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.