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Finding the Fourth Proportional to 5,203.95, 7,180.97 and 2,966.33

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Solution

The fourth proportional to 5,203.95, 7,180.97 and 2,966.33 is: 4,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.95 : 7,180.97 = 2,966.33 : x
  2. Step 2: Convert to fraction form
    5,203.95/7,180.97 = 2,966.33/x
  3. Step 3: Cross multiply
    5,203.95x = 7,180.97 × 2,966.33
  4. Step 4: Simplify right side
    5,203.95x = 21,301,076.00
  5. Step 5: Solve for x
    x = 21,301,076.00/5,203.95
  6. Step 6: Final answer
    x = 4,093.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.