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Finding the Fourth Proportional to 4,982.40, 6,878.16 and 3,866.64

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Solution

The fourth proportional to 4,982.40, 6,878.16 and 3,866.64 is: 5,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.40 : 6,878.16 = 3,866.64 : x
  2. Step 2: Convert to fraction form
    4,982.40/6,878.16 = 3,866.64/x
  3. Step 3: Cross multiply
    4,982.40x = 6,878.16 × 3,866.64
  4. Step 4: Simplify right side
    4,982.40x = 26,595,368.58
  5. Step 5: Solve for x
    x = 26,595,368.58/4,982.40
  6. Step 6: Final answer
    x = 5,337.86

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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.