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Finding the Fourth Proportional to 5,245.18, 7,870.81 and 1,958.15

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Solution

The fourth proportional to 5,245.18, 7,870.81 and 1,958.15 is: 2,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.18 : 7,870.81 = 1,958.15 : x
  2. Step 2: Convert to fraction form
    5,245.18/7,870.81 = 1,958.15/x
  3. Step 3: Cross multiply
    5,245.18x = 7,870.81 × 1,958.15
  4. Step 4: Simplify right side
    5,245.18x = 15,412,226.60
  5. Step 5: Solve for x
    x = 15,412,226.60/5,245.18
  6. Step 6: Final answer
    x = 2,938.36

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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.