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Finding the Fourth Proportional to 3,245.82, 4,869.42 and 1,054.38

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Solution

The fourth proportional to 3,245.82, 4,869.42 and 1,054.38 is: 1,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.82 : 4,869.42 = 1,054.38 : x
  2. Step 2: Convert to fraction form
    3,245.82/4,869.42 = 1,054.38/x
  3. Step 3: Cross multiply
    3,245.82x = 4,869.42 × 1,054.38
  4. Step 4: Simplify right side
    3,245.82x = 5,134,219.06
  5. Step 5: Solve for x
    x = 5,134,219.06/3,245.82
  6. Step 6: Final answer
    x = 1,581.79

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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.