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Finding the Fourth Proportional to 5,468.56, 8,202.90 and 1,573

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Solution

The fourth proportional to 5,468.56, 8,202.90 and 1,573 is: 2,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.56 : 8,202.90 = 1,573 : x
  2. Step 2: Convert to fraction form
    5,468.56/8,202.90 = 1,573/x
  3. Step 3: Cross multiply
    5,468.56x = 8,202.90 × 1,573
  4. Step 4: Simplify right side
    5,468.56x = 12,903,161.70
  5. Step 5: Solve for x
    x = 12,903,161.70/5,468.56
  6. Step 6: Final answer
    x = 2,359.52

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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.