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Finding the Fourth Proportional to 5,082.60, 7,619.04 and 1,794.81

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Solution

The fourth proportional to 5,082.60, 7,619.04 and 1,794.81 is: 2,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.60 : 7,619.04 = 1,794.81 : x
  2. Step 2: Convert to fraction form
    5,082.60/7,619.04 = 1,794.81/x
  3. Step 3: Cross multiply
    5,082.60x = 7,619.04 × 1,794.81
  4. Step 4: Simplify right side
    5,082.60x = 13,674,729.18
  5. Step 5: Solve for x
    x = 13,674,729.18/5,082.60
  6. Step 6: Final answer
    x = 2,690.50

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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.