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Finding the Fourth Proportional to 4,853.31, 6,698.28 and 2,965.98

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Solution

The fourth proportional to 4,853.31, 6,698.28 and 2,965.98 is: 4,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.31 : 6,698.28 = 2,965.98 : x
  2. Step 2: Convert to fraction form
    4,853.31/6,698.28 = 2,965.98/x
  3. Step 3: Cross multiply
    4,853.31x = 6,698.28 × 2,965.98
  4. Step 4: Simplify right side
    4,853.31x = 19,866,964.51
  5. Step 5: Solve for x
    x = 19,866,964.51/4,853.31
  6. Step 6: Final answer
    x = 4,093.49

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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.