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Finding the Fourth Proportional to 4,818.73, 6,647.88 and 3,820

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Solution

The fourth proportional to 4,818.73, 6,647.88 and 3,820 is: 5,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,818.73 : 6,647.88 = 3,820 : x
  2. Step 2: Convert to fraction form
    4,818.73/6,647.88 = 3,820/x
  3. Step 3: Cross multiply
    4,818.73x = 6,647.88 × 3,820
  4. Step 4: Simplify right side
    4,818.73x = 25,394,901.60
  5. Step 5: Solve for x
    x = 25,394,901.60/4,818.73
  6. Step 6: Final answer
    x = 5,270.04

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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.