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Finding the Fourth Proportional to 4,620.52, 6,930.68 and 1,989.77

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Solution

The fourth proportional to 4,620.52, 6,930.68 and 1,989.77 is: 2,984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.52 : 6,930.68 = 1,989.77 : x
  2. Step 2: Convert to fraction form
    4,620.52/6,930.68 = 1,989.77/x
  3. Step 3: Cross multiply
    4,620.52x = 6,930.68 × 1,989.77
  4. Step 4: Simplify right side
    4,620.52x = 13,790,466.52
  5. Step 5: Solve for x
    x = 13,790,466.52/4,620.52
  6. Step 6: Final answer
    x = 2,984.62

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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.