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Finding the Fourth Proportional to 6,028.50, 9,042.75 and 2,742.53

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Solution

The fourth proportional to 6,028.50, 9,042.75 and 2,742.53 is: 4,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,028.50 : 9,042.75 = 2,742.53 : x
  2. Step 2: Convert to fraction form
    6,028.50/9,042.75 = 2,742.53/x
  3. Step 3: Cross multiply
    6,028.50x = 9,042.75 × 2,742.53
  4. Step 4: Simplify right side
    6,028.50x = 24,800,035.76
  5. Step 5: Solve for x
    x = 24,800,035.76/6,028.50
  6. Step 6: Final answer
    x = 4,113.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.