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Finding the Fourth Proportional to 5,028.98, 6,942.74 and 3,438.02

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Solution

The fourth proportional to 5,028.98, 6,942.74 and 3,438.02 is: 4,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,028.98 : 6,942.74 = 3,438.02 : x
  2. Step 2: Convert to fraction form
    5,028.98/6,942.74 = 3,438.02/x
  3. Step 3: Cross multiply
    5,028.98x = 6,942.74 × 3,438.02
  4. Step 4: Simplify right side
    5,028.98x = 23,869,227.07
  5. Step 5: Solve for x
    x = 23,869,227.07/5,028.98
  6. Step 6: Final answer
    x = 4,746.34

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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.