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Finding the Fourth Proportional to 4,541.82, 6,803.46 and 2,194.74

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Solution

The fourth proportional to 4,541.82, 6,803.46 and 2,194.74 is: 3,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.82 : 6,803.46 = 2,194.74 : x
  2. Step 2: Convert to fraction form
    4,541.82/6,803.46 = 2,194.74/x
  3. Step 3: Cross multiply
    4,541.82x = 6,803.46 × 2,194.74
  4. Step 4: Simplify right side
    4,541.82x = 14,931,825.80
  5. Step 5: Solve for x
    x = 14,931,825.80/4,541.82
  6. Step 6: Final answer
    x = 3,287.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.