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Finding the Fourth Proportional to 4,921.97, 7,383.32 and 1,411.95

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Solution

The fourth proportional to 4,921.97, 7,383.32 and 1,411.95 is: 2,118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.97 : 7,383.32 = 1,411.95 : x
  2. Step 2: Convert to fraction form
    4,921.97/7,383.32 = 1,411.95/x
  3. Step 3: Cross multiply
    4,921.97x = 7,383.32 × 1,411.95
  4. Step 4: Simplify right side
    4,921.97x = 10,424,850.47
  5. Step 5: Solve for x
    x = 10,424,850.47/4,921.97
  6. Step 6: Final answer
    x = 2,118.03

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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.