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Finding the Fourth Proportional to 4,982.94, 6,878.80 and 2,886.66

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Solution

The fourth proportional to 4,982.94, 6,878.80 and 2,886.66 is: 3,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.94 : 6,878.80 = 2,886.66 : x
  2. Step 2: Convert to fraction form
    4,982.94/6,878.80 = 2,886.66/x
  3. Step 3: Cross multiply
    4,982.94x = 6,878.80 × 2,886.66
  4. Step 4: Simplify right side
    4,982.94x = 19,856,756.81
  5. Step 5: Solve for x
    x = 19,856,756.81/4,982.94
  6. Step 6: Final answer
    x = 3,984.95

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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.