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Finding the Fourth Proportional to 5,616, 8,423.97 and 1,456.00

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Solution

The fourth proportional to 5,616, 8,423.97 and 1,456.00 is: 2,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616 : 8,423.97 = 1,456.00 : x
  2. Step 2: Convert to fraction form
    5,616/8,423.97 = 1,456.00/x
  3. Step 3: Cross multiply
    5,616x = 8,423.97 × 1,456.00
  4. Step 4: Simplify right side
    5,616x = 12,265,273.80
  5. Step 5: Solve for x
    x = 12,265,273.80/5,616
  6. Step 6: Final answer
    x = 2,183.99

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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.