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Finding the Fourth Proportional to 4,825.95, 7,243.04 and 3,442.68

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Solution

The fourth proportional to 4,825.95, 7,243.04 and 3,442.68 is: 5,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.95 : 7,243.04 = 3,442.68 : x
  2. Step 2: Convert to fraction form
    4,825.95/7,243.04 = 3,442.68/x
  3. Step 3: Cross multiply
    4,825.95x = 7,243.04 × 3,442.68
  4. Step 4: Simplify right side
    4,825.95x = 24,935,468.95
  5. Step 5: Solve for x
    x = 24,935,468.95/4,825.95
  6. Step 6: Final answer
    x = 5,166.96

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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.