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Finding the Fourth Proportional to 5,044.26, 6,959.93 and 3,054.40

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Solution

The fourth proportional to 5,044.26, 6,959.93 and 3,054.40 is: 4,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.26 : 6,959.93 = 3,054.40 : x
  2. Step 2: Convert to fraction form
    5,044.26/6,959.93 = 3,054.40/x
  3. Step 3: Cross multiply
    5,044.26x = 6,959.93 × 3,054.40
  4. Step 4: Simplify right side
    5,044.26x = 21,258,410.19
  5. Step 5: Solve for x
    x = 21,258,410.19/5,044.26
  6. Step 6: Final answer
    x = 4,214.38

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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.