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Finding the Fourth Proportional to 4,847.63, 7,267.80 and 3,283.70

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Solution

The fourth proportional to 4,847.63, 7,267.80 and 3,283.70 is: 4,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.63 : 7,267.80 = 3,283.70 : x
  2. Step 2: Convert to fraction form
    4,847.63/7,267.80 = 3,283.70/x
  3. Step 3: Cross multiply
    4,847.63x = 7,267.80 × 3,283.70
  4. Step 4: Simplify right side
    4,847.63x = 23,865,274.86
  5. Step 5: Solve for x
    x = 23,865,274.86/4,847.63
  6. Step 6: Final answer
    x = 4,923.08

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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.