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Finding the Fourth Proportional to 4,902.09, 7,352.78 and 1,439.61

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Solution

The fourth proportional to 4,902.09, 7,352.78 and 1,439.61 is: 2,159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.09 : 7,352.78 = 1,439.61 : x
  2. Step 2: Convert to fraction form
    4,902.09/7,352.78 = 1,439.61/x
  3. Step 3: Cross multiply
    4,902.09x = 7,352.78 × 1,439.61
  4. Step 4: Simplify right side
    4,902.09x = 10,585,128.42
  5. Step 5: Solve for x
    x = 10,585,128.42/4,902.09
  6. Step 6: Final answer
    x = 2,159.31

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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.