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Finding the Fourth Proportional to 4,576.84, 6,852.17 and 4,286.21

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Solution

The fourth proportional to 4,576.84, 6,852.17 and 4,286.21 is: 6,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.84 : 6,852.17 = 4,286.21 : x
  2. Step 2: Convert to fraction form
    4,576.84/6,852.17 = 4,286.21/x
  3. Step 3: Cross multiply
    4,576.84x = 6,852.17 × 4,286.21
  4. Step 4: Simplify right side
    4,576.84x = 29,369,816.03
  5. Step 5: Solve for x
    x = 29,369,816.03/4,576.84
  6. Step 6: Final answer
    x = 6,417.05

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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.