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Finding the Fourth Proportional to 4,673.85, 7,002.94 and 3,284.70

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Solution

The fourth proportional to 4,673.85, 7,002.94 and 3,284.70 is: 4,921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.85 : 7,002.94 = 3,284.70 : x
  2. Step 2: Convert to fraction form
    4,673.85/7,002.94 = 3,284.70/x
  3. Step 3: Cross multiply
    4,673.85x = 7,002.94 × 3,284.70
  4. Step 4: Simplify right side
    4,673.85x = 23,002,529.06
  5. Step 5: Solve for x
    x = 23,002,529.06/4,673.85
  6. Step 6: Final answer
    x = 4,921.54

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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.