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Finding the Fourth Proportional to 4,982.68, 6,868.58 and 4,096.94

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Solution

The fourth proportional to 4,982.68, 6,868.58 and 4,096.94 is: 5,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.68 : 6,868.58 = 4,096.94 : x
  2. Step 2: Convert to fraction form
    4,982.68/6,868.58 = 4,096.94/x
  3. Step 3: Cross multiply
    4,982.68x = 6,868.58 × 4,096.94
  4. Step 4: Simplify right side
    4,982.68x = 28,140,167.00
  5. Step 5: Solve for x
    x = 28,140,167.00/4,982.68
  6. Step 6: Final answer
    x = 5,647.60

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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.