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Finding the Fourth Proportional to 5,644.71, 8,459.94 and 2,872.08

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Solution

The fourth proportional to 5,644.71, 8,459.94 and 2,872.08 is: 4,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.71 : 8,459.94 = 2,872.08 : x
  2. Step 2: Convert to fraction form
    5,644.71/8,459.94 = 2,872.08/x
  3. Step 3: Cross multiply
    5,644.71x = 8,459.94 × 2,872.08
  4. Step 4: Simplify right side
    5,644.71x = 24,297,624.48
  5. Step 5: Solve for x
    x = 24,297,624.48/5,644.71
  6. Step 6: Final answer
    x = 4,304.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.