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Finding the Fourth Proportional to 5,784, 7,981.44 and 3,266.70

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Solution

The fourth proportional to 5,784, 7,981.44 and 3,266.70 is: 4,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784 : 7,981.44 = 3,266.70 : x
  2. Step 2: Convert to fraction form
    5,784/7,981.44 = 3,266.70/x
  3. Step 3: Cross multiply
    5,784x = 7,981.44 × 3,266.70
  4. Step 4: Simplify right side
    5,784x = 26,072,970.05
  5. Step 5: Solve for x
    x = 26,072,970.05/5,784
  6. Step 6: Final answer
    x = 4,507.77

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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.