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Finding the Fourth Proportional to 4,803.74, 7,204.70 and 1,293.91

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Solution

The fourth proportional to 4,803.74, 7,204.70 and 1,293.91 is: 1,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.74 : 7,204.70 = 1,293.91 : x
  2. Step 2: Convert to fraction form
    4,803.74/7,204.70 = 1,293.91/x
  3. Step 3: Cross multiply
    4,803.74x = 7,204.70 × 1,293.91
  4. Step 4: Simplify right side
    4,803.74x = 9,322,211.32
  5. Step 5: Solve for x
    x = 9,322,211.32/4,803.74
  6. Step 6: Final answer
    x = 1,940.62

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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.