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Finding the Fourth Proportional to 4,570.68, 6,856.80 and 2,105.44

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Solution

The fourth proportional to 4,570.68, 6,856.80 and 2,105.44 is: 3,158.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.68 : 6,856.80 = 2,105.44 : x
  2. Step 2: Convert to fraction form
    4,570.68/6,856.80 = 2,105.44/x
  3. Step 3: Cross multiply
    4,570.68x = 6,856.80 × 2,105.44
  4. Step 4: Simplify right side
    4,570.68x = 14,436,580.99
  5. Step 5: Solve for x
    x = 14,436,580.99/4,570.68
  6. Step 6: Final answer
    x = 3,158.52

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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.