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Finding the Fourth Proportional to 4,068.36, 5,617.74 and 2,746.44

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Solution

The fourth proportional to 4,068.36, 5,617.74 and 2,746.44 is: 3,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.36 : 5,617.74 = 2,746.44 : x
  2. Step 2: Convert to fraction form
    4,068.36/5,617.74 = 2,746.44/x
  3. Step 3: Cross multiply
    4,068.36x = 5,617.74 × 2,746.44
  4. Step 4: Simplify right side
    4,068.36x = 15,428,785.85
  5. Step 5: Solve for x
    x = 15,428,785.85/4,068.36
  6. Step 6: Final answer
    x = 3,792.38

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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.