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Finding the Fourth Proportional to 4,082, 6,124.28 and 1,773.84

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Solution

The fourth proportional to 4,082, 6,124.28 and 1,773.84 is: 2,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082 : 6,124.28 = 1,773.84 : x
  2. Step 2: Convert to fraction form
    4,082/6,124.28 = 1,773.84/x
  3. Step 3: Cross multiply
    4,082x = 6,124.28 × 1,773.84
  4. Step 4: Simplify right side
    4,082x = 10,863,492.84
  5. Step 5: Solve for x
    x = 10,863,492.84/4,082
  6. Step 6: Final answer
    x = 2,661.32

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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.