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Finding the Fourth Proportional to 5,784.53, 8,676.84 and 1,624.57

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Solution

The fourth proportional to 5,784.53, 8,676.84 and 1,624.57 is: 2,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.53 : 8,676.84 = 1,624.57 : x
  2. Step 2: Convert to fraction form
    5,784.53/8,676.84 = 1,624.57/x
  3. Step 3: Cross multiply
    5,784.53x = 8,676.84 × 1,624.57
  4. Step 4: Simplify right side
    5,784.53x = 14,096,133.96
  5. Step 5: Solve for x
    x = 14,096,133.96/5,784.53
  6. Step 6: Final answer
    x = 2,436.87

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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.