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Finding the Fourth Proportional to 5,082.68, 7,622.64 and 1,795.32

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Solution

The fourth proportional to 5,082.68, 7,622.64 and 1,795.32 is: 2,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.68 : 7,622.64 = 1,795.32 : x
  2. Step 2: Convert to fraction form
    5,082.68/7,622.64 = 1,795.32/x
  3. Step 3: Cross multiply
    5,082.68x = 7,622.64 × 1,795.32
  4. Step 4: Simplify right side
    5,082.68x = 13,685,078.04
  5. Step 5: Solve for x
    x = 13,685,078.04/5,082.68
  6. Step 6: Final answer
    x = 2,692.49

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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.