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Finding the Fourth Proportional to 4,986.34, 6,878.86 and 2,889.25

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Solution

The fourth proportional to 4,986.34, 6,878.86 and 2,889.25 is: 3,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.34 : 6,878.86 = 2,889.25 : x
  2. Step 2: Convert to fraction form
    4,986.34/6,878.86 = 2,889.25/x
  3. Step 3: Cross multiply
    4,986.34x = 6,878.86 × 2,889.25
  4. Step 4: Simplify right side
    4,986.34x = 19,874,746.26
  5. Step 5: Solve for x
    x = 19,874,746.26/4,986.34
  6. Step 6: Final answer
    x = 3,985.84

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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.