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Finding the Fourth Proportional to 3,316.26, 4,971.03 and 2,084.54

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Solution

The fourth proportional to 3,316.26, 4,971.03 and 2,084.54 is: 3,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.26 : 4,971.03 = 2,084.54 : x
  2. Step 2: Convert to fraction form
    3,316.26/4,971.03 = 2,084.54/x
  3. Step 3: Cross multiply
    3,316.26x = 4,971.03 × 2,084.54
  4. Step 4: Simplify right side
    3,316.26x = 10,362,310.88
  5. Step 5: Solve for x
    x = 10,362,310.88/3,316.26
  6. Step 6: Final answer
    x = 3,124.70

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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.