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Finding the Fourth Proportional to 5,082.95, 7,579.70 and 4,679.03

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Solution

The fourth proportional to 5,082.95, 7,579.70 and 4,679.03 is: 6,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.95 : 7,579.70 = 4,679.03 : x
  2. Step 2: Convert to fraction form
    5,082.95/7,579.70 = 4,679.03/x
  3. Step 3: Cross multiply
    5,082.95x = 7,579.70 × 4,679.03
  4. Step 4: Simplify right side
    5,082.95x = 35,465,582.40
  5. Step 5: Solve for x
    x = 35,465,582.40/5,082.95
  6. Step 6: Final answer
    x = 6,977.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.