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Finding the Fourth Proportional to 5,753.64, 8,628.30 and 1,857

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Solution

The fourth proportional to 5,753.64, 8,628.30 and 1,857 is: 2,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.64 : 8,628.30 = 1,857 : x
  2. Step 2: Convert to fraction form
    5,753.64/8,628.30 = 1,857/x
  3. Step 3: Cross multiply
    5,753.64x = 8,628.30 × 1,857
  4. Step 4: Simplify right side
    5,753.64x = 16,022,753.10
  5. Step 5: Solve for x
    x = 16,022,753.10/5,753.64
  6. Step 6: Final answer
    x = 2,784.80

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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.