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Finding the Fourth Proportional to 5,054.16, 6,978.49 and 3,067.40

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Solution

The fourth proportional to 5,054.16, 6,978.49 and 3,067.40 is: 4,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.16 : 6,978.49 = 3,067.40 : x
  2. Step 2: Convert to fraction form
    5,054.16/6,978.49 = 3,067.40/x
  3. Step 3: Cross multiply
    5,054.16x = 6,978.49 × 3,067.40
  4. Step 4: Simplify right side
    5,054.16x = 21,405,830.00
  5. Step 5: Solve for x
    x = 21,405,830.00/5,054.16
  6. Step 6: Final answer
    x = 4,235.29

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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.