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Finding the Fourth Proportional to 3,816.88, 5,725.04 and 1,219.12

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Solution

The fourth proportional to 3,816.88, 5,725.04 and 1,219.12 is: 1,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.88 : 5,725.04 = 1,219.12 : x
  2. Step 2: Convert to fraction form
    3,816.88/5,725.04 = 1,219.12/x
  3. Step 3: Cross multiply
    3,816.88x = 5,725.04 × 1,219.12
  4. Step 4: Simplify right side
    3,816.88x = 6,979,510.76
  5. Step 5: Solve for x
    x = 6,979,510.76/3,816.88
  6. Step 6: Final answer
    x = 1,828.59

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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.