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Finding the Fourth Proportional to 5,294.61, 7,940.22 and 1,783.68

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Solution

The fourth proportional to 5,294.61, 7,940.22 and 1,783.68 is: 2,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.61 : 7,940.22 = 1,783.68 : x
  2. Step 2: Convert to fraction form
    5,294.61/7,940.22 = 1,783.68/x
  3. Step 3: Cross multiply
    5,294.61x = 7,940.22 × 1,783.68
  4. Step 4: Simplify right side
    5,294.61x = 14,162,811.61
  5. Step 5: Solve for x
    x = 14,162,811.61/5,294.61
  6. Step 6: Final answer
    x = 2,674.95

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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.