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Finding the Fourth Proportional to 3,516, 4,852.08 and 1,944.09

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Solution

The fourth proportional to 3,516, 4,852.08 and 1,944.09 is: 2,682.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516 : 4,852.08 = 1,944.09 : x
  2. Step 2: Convert to fraction form
    3,516/4,852.08 = 1,944.09/x
  3. Step 3: Cross multiply
    3,516x = 4,852.08 × 1,944.09
  4. Step 4: Simplify right side
    3,516x = 9,432,880.21
  5. Step 5: Solve for x
    x = 9,432,880.21/3,516
  6. Step 6: Final answer
    x = 2,682.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.