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Finding the Fourth Proportional to 3,890.49, 5,368.71 and 2,122.08

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Solution

The fourth proportional to 3,890.49, 5,368.71 and 2,122.08 is: 2,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.49 : 5,368.71 = 2,122.08 : x
  2. Step 2: Convert to fraction form
    3,890.49/5,368.71 = 2,122.08/x
  3. Step 3: Cross multiply
    3,890.49x = 5,368.71 × 2,122.08
  4. Step 4: Simplify right side
    3,890.49x = 11,392,832.12
  5. Step 5: Solve for x
    x = 11,392,832.12/3,890.49
  6. Step 6: Final answer
    x = 2,928.38

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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.