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Finding the Fourth Proportional to 3,882, 5,823 and 1,573.50

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Solution

The fourth proportional to 3,882, 5,823 and 1,573.50 is: 2,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882 : 5,823 = 1,573.50 : x
  2. Step 2: Convert to fraction form
    3,882/5,823 = 1,573.50/x
  3. Step 3: Cross multiply
    3,882x = 5,823 × 1,573.50
  4. Step 4: Simplify right side
    3,882x = 9,162,490.50
  5. Step 5: Solve for x
    x = 9,162,490.50/3,882
  6. Step 6: Final answer
    x = 2,360.25

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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.