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Finding the Fourth Proportional to 4,581.62, 6,872.62 and 2,082.32

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Solution

The fourth proportional to 4,581.62, 6,872.62 and 2,082.32 is: 3,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581.62 : 6,872.62 = 2,082.32 : x
  2. Step 2: Convert to fraction form
    4,581.62/6,872.62 = 2,082.32/x
  3. Step 3: Cross multiply
    4,581.62x = 6,872.62 × 2,082.32
  4. Step 4: Simplify right side
    4,581.62x = 14,310,994.08
  5. Step 5: Solve for x
    x = 14,310,994.08/4,581.62
  6. Step 6: Final answer
    x = 3,123.57

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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.