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Finding the Fourth Proportional to 4,985.10, 6,878.97 and 2,889

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Solution

The fourth proportional to 4,985.10, 6,878.97 and 2,889 is: 3,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.10 : 6,878.97 = 2,889 : x
  2. Step 2: Convert to fraction form
    4,985.10/6,878.97 = 2,889/x
  3. Step 3: Cross multiply
    4,985.10x = 6,878.97 × 2,889
  4. Step 4: Simplify right side
    4,985.10x = 19,873,344.33
  5. Step 5: Solve for x
    x = 19,873,344.33/4,985.10
  6. Step 6: Final answer
    x = 3,986.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.