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Finding the Fourth Proportional to 3,920.38, 5,410.13 and 2,152

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Solution

The fourth proportional to 3,920.38, 5,410.13 and 2,152 is: 2,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.38 : 5,410.13 = 2,152 : x
  2. Step 2: Convert to fraction form
    3,920.38/5,410.13 = 2,152/x
  3. Step 3: Cross multiply
    3,920.38x = 5,410.13 × 2,152
  4. Step 4: Simplify right side
    3,920.38x = 11,642,599.76
  5. Step 5: Solve for x
    x = 11,642,599.76/3,920.38
  6. Step 6: Final answer
    x = 2,969.76

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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.