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Finding the Fourth Proportional to 5,202.54, 7,804.62 and 1,504.80

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Solution

The fourth proportional to 5,202.54, 7,804.62 and 1,504.80 is: 2,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.54 : 7,804.62 = 1,504.80 : x
  2. Step 2: Convert to fraction form
    5,202.54/7,804.62 = 1,504.80/x
  3. Step 3: Cross multiply
    5,202.54x = 7,804.62 × 1,504.80
  4. Step 4: Simplify right side
    5,202.54x = 11,744,392.18
  5. Step 5: Solve for x
    x = 11,744,392.18/5,202.54
  6. Step 6: Final answer
    x = 2,257.43

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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.