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Finding the Fourth Proportional to 5,682.96, 8,524.71 and 1,787.67

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Solution

The fourth proportional to 5,682.96, 8,524.71 and 1,787.67 is: 2,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.96 : 8,524.71 = 1,787.67 : x
  2. Step 2: Convert to fraction form
    5,682.96/8,524.71 = 1,787.67/x
  3. Step 3: Cross multiply
    5,682.96x = 8,524.71 × 1,787.67
  4. Step 4: Simplify right side
    5,682.96x = 15,239,368.33
  5. Step 5: Solve for x
    x = 15,239,368.33/5,682.96
  6. Step 6: Final answer
    x = 2,681.59

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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.