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Finding the Fourth Proportional to 5,940.95, 8,913.98 and 2,823.14

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Solution

The fourth proportional to 5,940.95, 8,913.98 and 2,823.14 is: 4,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.95 : 8,913.98 = 2,823.14 : x
  2. Step 2: Convert to fraction form
    5,940.95/8,913.98 = 2,823.14/x
  3. Step 3: Cross multiply
    5,940.95x = 8,913.98 × 2,823.14
  4. Step 4: Simplify right side
    5,940.95x = 25,165,442.84
  5. Step 5: Solve for x
    x = 25,165,442.84/5,940.95
  6. Step 6: Final answer
    x = 4,235.93

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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.