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Finding the Fourth Proportional to 5,178.94, 7,768.32 and 1,283.34

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Solution

The fourth proportional to 5,178.94, 7,768.32 and 1,283.34 is: 1,924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.94 : 7,768.32 = 1,283.34 : x
  2. Step 2: Convert to fraction form
    5,178.94/7,768.32 = 1,283.34/x
  3. Step 3: Cross multiply
    5,178.94x = 7,768.32 × 1,283.34
  4. Step 4: Simplify right side
    5,178.94x = 9,969,395.79
  5. Step 5: Solve for x
    x = 9,969,395.79/5,178.94
  6. Step 6: Final answer
    x = 1,924.99

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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.