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Finding the Fourth Proportional to 3,546.67, 5,316.52 and 1,323.87

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Solution

The fourth proportional to 3,546.67, 5,316.52 and 1,323.87 is: 1,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.67 : 5,316.52 = 1,323.87 : x
  2. Step 2: Convert to fraction form
    3,546.67/5,316.52 = 1,323.87/x
  3. Step 3: Cross multiply
    3,546.67x = 5,316.52 × 1,323.87
  4. Step 4: Simplify right side
    3,546.67x = 7,038,394.62
  5. Step 5: Solve for x
    x = 7,038,394.62/3,546.67
  6. Step 6: Final answer
    x = 1,984.51

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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.