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Finding the Fourth Proportional to 4,138.51, 6,206.86 and 2,653.28

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Solution

The fourth proportional to 4,138.51, 6,206.86 and 2,653.28 is: 3,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.51 : 6,206.86 = 2,653.28 : x
  2. Step 2: Convert to fraction form
    4,138.51/6,206.86 = 2,653.28/x
  3. Step 3: Cross multiply
    4,138.51x = 6,206.86 × 2,653.28
  4. Step 4: Simplify right side
    4,138.51x = 16,468,537.50
  5. Step 5: Solve for x
    x = 16,468,537.50/4,138.51
  6. Step 6: Final answer
    x = 3,979.34

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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.