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Finding the Fourth Proportional to 4,786.02, 7,178.49 and 1,323

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Solution

The fourth proportional to 4,786.02, 7,178.49 and 1,323 is: 1,984.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.02 : 7,178.49 = 1,323 : x
  2. Step 2: Convert to fraction form
    4,786.02/7,178.49 = 1,323/x
  3. Step 3: Cross multiply
    4,786.02x = 7,178.49 × 1,323
  4. Step 4: Simplify right side
    4,786.02x = 9,497,142.27
  5. Step 5: Solve for x
    x = 9,497,142.27/4,786.02
  6. Step 6: Final answer
    x = 1,984.35

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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.