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Finding the Fourth Proportional to 3,816.78, 5,725.98 and 1,184.23

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Solution

The fourth proportional to 3,816.78, 5,725.98 and 1,184.23 is: 1,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.78 : 5,725.98 = 1,184.23 : x
  2. Step 2: Convert to fraction form
    3,816.78/5,725.98 = 1,184.23/x
  3. Step 3: Cross multiply
    3,816.78x = 5,725.98 × 1,184.23
  4. Step 4: Simplify right side
    3,816.78x = 6,780,848.67
  5. Step 5: Solve for x
    x = 6,780,848.67/3,816.78
  6. Step 6: Final answer
    x = 1,776.59

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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.