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Finding the Fourth Proportional to 4,783.92, 6,599.82 and 3,454.68

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Solution

The fourth proportional to 4,783.92, 6,599.82 and 3,454.68 is: 4,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.92 : 6,599.82 = 3,454.68 : x
  2. Step 2: Convert to fraction form
    4,783.92/6,599.82 = 3,454.68/x
  3. Step 3: Cross multiply
    4,783.92x = 6,599.82 × 3,454.68
  4. Step 4: Simplify right side
    4,783.92x = 22,800,266.16
  5. Step 5: Solve for x
    x = 22,800,266.16/4,783.92
  6. Step 6: Final answer
    x = 4,766.02

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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.