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Finding the Fourth Proportional to 5,682, 8,523 and 1,578

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Solution

The fourth proportional to 5,682, 8,523 and 1,578 is: 2,367

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682 : 8,523 = 1,578 : x
  2. Step 2: Convert to fraction form
    5,682/8,523 = 1,578/x
  3. Step 3: Cross multiply
    5,682x = 8,523 × 1,578
  4. Step 4: Simplify right side
    5,682x = 13,449,294
  5. Step 5: Solve for x
    x = 13,449,294/5,682
  6. Step 6: Final answer
    x = 2,367

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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.