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Finding the Fourth Proportional to 4,727.85, 7,084.79 and 4,208.84

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Solution

The fourth proportional to 4,727.85, 7,084.79 and 4,208.84 is: 6,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727.85 : 7,084.79 = 4,208.84 : x
  2. Step 2: Convert to fraction form
    4,727.85/7,084.79 = 4,208.84/x
  3. Step 3: Cross multiply
    4,727.85x = 7,084.79 × 4,208.84
  4. Step 4: Simplify right side
    4,727.85x = 29,818,747.54
  5. Step 5: Solve for x
    x = 29,818,747.54/4,727.85
  6. Step 6: Final answer
    x = 6,307.04

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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.