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Finding the Fourth Proportional to 5,201.88, 7,804.14 and 1,504.38

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Solution

The fourth proportional to 5,201.88, 7,804.14 and 1,504.38 is: 2,256.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.88 : 7,804.14 = 1,504.38 : x
  2. Step 2: Convert to fraction form
    5,201.88/7,804.14 = 1,504.38/x
  3. Step 3: Cross multiply
    5,201.88x = 7,804.14 × 1,504.38
  4. Step 4: Simplify right side
    5,201.88x = 11,740,392.13
  5. Step 5: Solve for x
    x = 11,740,392.13/5,201.88
  6. Step 6: Final answer
    x = 2,256.95

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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.