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Finding the Fourth Proportional to 3,500.64, 4,830.96 and 2,084.48

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Solution

The fourth proportional to 3,500.64, 4,830.96 and 2,084.48 is: 2,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.64 : 4,830.96 = 2,084.48 : x
  2. Step 2: Convert to fraction form
    3,500.64/4,830.96 = 2,084.48/x
  3. Step 3: Cross multiply
    3,500.64x = 4,830.96 × 2,084.48
  4. Step 4: Simplify right side
    3,500.64x = 10,070,039.50
  5. Step 5: Solve for x
    x = 10,070,039.50/3,500.64
  6. Step 6: Final answer
    x = 2,876.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.