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Finding the Fourth Proportional to 3,718.56, 5,576.43 and 1,219.16

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Solution

The fourth proportional to 3,718.56, 5,576.43 and 1,219.16 is: 1,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.56 : 5,576.43 = 1,219.16 : x
  2. Step 2: Convert to fraction form
    3,718.56/5,576.43 = 1,219.16/x
  3. Step 3: Cross multiply
    3,718.56x = 5,576.43 × 1,219.16
  4. Step 4: Simplify right side
    3,718.56x = 6,798,560.40
  5. Step 5: Solve for x
    x = 6,798,560.40/3,718.56
  6. Step 6: Final answer
    x = 1,828.28

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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.