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Finding the Fourth Proportional to 5,030.18, 6,942.18 and 3,833

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Solution

The fourth proportional to 5,030.18, 6,942.18 and 3,833 is: 5,289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,030.18 : 6,942.18 = 3,833 : x
  2. Step 2: Convert to fraction form
    5,030.18/6,942.18 = 3,833/x
  3. Step 3: Cross multiply
    5,030.18x = 6,942.18 × 3,833
  4. Step 4: Simplify right side
    5,030.18x = 26,609,375.94
  5. Step 5: Solve for x
    x = 26,609,375.94/5,030.18
  6. Step 6: Final answer
    x = 5,289.95

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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.