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Finding the Fourth Proportional to 3,830.54, 5,285.86 and 2,152.22

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Solution

The fourth proportional to 3,830.54, 5,285.86 and 2,152.22 is: 2,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.54 : 5,285.86 = 2,152.22 : x
  2. Step 2: Convert to fraction form
    3,830.54/5,285.86 = 2,152.22/x
  3. Step 3: Cross multiply
    3,830.54x = 5,285.86 × 2,152.22
  4. Step 4: Simplify right side
    3,830.54x = 11,376,348.26
  5. Step 5: Solve for x
    x = 11,376,348.26/3,830.54
  6. Step 6: Final answer
    x = 2,969.91

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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.