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Finding the Fourth Proportional to 3,774.89, 5,636.91 and 3,082.93

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Solution

The fourth proportional to 3,774.89, 5,636.91 and 3,082.93 is: 4,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.89 : 5,636.91 = 3,082.93 : x
  2. Step 2: Convert to fraction form
    3,774.89/5,636.91 = 3,082.93/x
  3. Step 3: Cross multiply
    3,774.89x = 5,636.91 × 3,082.93
  4. Step 4: Simplify right side
    3,774.89x = 17,378,179.07
  5. Step 5: Solve for x
    x = 17,378,179.07/3,774.89
  6. Step 6: Final answer
    x = 4,603.63

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