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Finding the Fourth Proportional to 4,772.66, 7,153.79 and 2,000.84

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Solution

The fourth proportional to 4,772.66, 7,153.79 and 2,000.84 is: 2,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.66 : 7,153.79 = 2,000.84 : x
  2. Step 2: Convert to fraction form
    4,772.66/7,153.79 = 2,000.84/x
  3. Step 3: Cross multiply
    4,772.66x = 7,153.79 × 2,000.84
  4. Step 4: Simplify right side
    4,772.66x = 14,313,543.41
  5. Step 5: Solve for x
    x = 14,313,543.41/4,772.66
  6. Step 6: Final answer
    x = 2,999.07

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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.