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Finding the Fourth Proportional to 4,722.72, 7,084.48 and 1,435.84

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Solution

The fourth proportional to 4,722.72, 7,084.48 and 1,435.84 is: 2,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.72 : 7,084.48 = 1,435.84 : x
  2. Step 2: Convert to fraction form
    4,722.72/7,084.48 = 1,435.84/x
  3. Step 3: Cross multiply
    4,722.72x = 7,084.48 × 1,435.84
  4. Step 4: Simplify right side
    4,722.72x = 10,172,185.03
  5. Step 5: Solve for x
    x = 10,172,185.03/4,722.72
  6. Step 6: Final answer
    x = 2,153.88

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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.