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Finding the Fourth Proportional to 5,203.39, 7,803.94 and 1,504.81

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Solution

The fourth proportional to 5,203.39, 7,803.94 and 1,504.81 is: 2,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.39 : 7,803.94 = 1,504.81 : x
  2. Step 2: Convert to fraction form
    5,203.39/7,803.94 = 1,504.81/x
  3. Step 3: Cross multiply
    5,203.39x = 7,803.94 × 1,504.81
  4. Step 4: Simplify right side
    5,203.39x = 11,743,439.43
  5. Step 5: Solve for x
    x = 11,743,439.43/5,203.39
  6. Step 6: Final answer
    x = 2,256.88

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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.