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Finding the Fourth Proportional to 5,660.28, 8,490.60 and 1,764.99

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Solution

The fourth proportional to 5,660.28, 8,490.60 and 1,764.99 is: 2,647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.28 : 8,490.60 = 1,764.99 : x
  2. Step 2: Convert to fraction form
    5,660.28/8,490.60 = 1,764.99/x
  3. Step 3: Cross multiply
    5,660.28x = 8,490.60 × 1,764.99
  4. Step 4: Simplify right side
    5,660.28x = 14,985,824.09
  5. Step 5: Solve for x
    x = 14,985,824.09/5,660.28
  6. Step 6: Final answer
    x = 2,647.54

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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.