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Finding the Fourth Proportional to 5,753.70, 8,629.62 and 2,055.30

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Solution

The fourth proportional to 5,753.70, 8,629.62 and 2,055.30 is: 3,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.70 : 8,629.62 = 2,055.30 : x
  2. Step 2: Convert to fraction form
    5,753.70/8,629.62 = 2,055.30/x
  3. Step 3: Cross multiply
    5,753.70x = 8,629.62 × 2,055.30
  4. Step 4: Simplify right side
    5,753.70x = 17,736,457.99
  5. Step 5: Solve for x
    x = 17,736,457.99/5,753.70
  6. Step 6: Final answer
    x = 3,082.62

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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.