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Finding the Fourth Proportional to 3,546.35, 5,318.86 and 1,047

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Solution

The fourth proportional to 3,546.35, 5,318.86 and 1,047 is: 1,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.35 : 5,318.86 = 1,047 : x
  2. Step 2: Convert to fraction form
    3,546.35/5,318.86 = 1,047/x
  3. Step 3: Cross multiply
    3,546.35x = 5,318.86 × 1,047
  4. Step 4: Simplify right side
    3,546.35x = 5,568,846.42
  5. Step 5: Solve for x
    x = 5,568,846.42/3,546.35
  6. Step 6: Final answer
    x = 1,570.30

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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.