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Finding the Fourth Proportional to 3,955.61, 5,932.90 and 1,763.82

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Solution

The fourth proportional to 3,955.61, 5,932.90 and 1,763.82 is: 2,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.61 : 5,932.90 = 1,763.82 : x
  2. Step 2: Convert to fraction form
    3,955.61/5,932.90 = 1,763.82/x
  3. Step 3: Cross multiply
    3,955.61x = 5,932.90 × 1,763.82
  4. Step 4: Simplify right side
    3,955.61x = 10,464,569.88
  5. Step 5: Solve for x
    x = 10,464,569.88/3,955.61
  6. Step 6: Final answer
    x = 2,645.50

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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.