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Finding the Fourth Proportional to 3,616, 5,419.92 and 1,972

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Solution

The fourth proportional to 3,616, 5,419.92 and 1,972 is: 2,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616 : 5,419.92 = 1,972 : x
  2. Step 2: Convert to fraction form
    3,616/5,419.92 = 1,972/x
  3. Step 3: Cross multiply
    3,616x = 5,419.92 × 1,972
  4. Step 4: Simplify right side
    3,616x = 10,688,082.24
  5. Step 5: Solve for x
    x = 10,688,082.24/3,616
  6. Step 6: Final answer
    x = 2,955.77

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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.