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Finding the Fourth Proportional to 3,565.76, 4,920.62 and 1,993.82

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Solution

The fourth proportional to 3,565.76, 4,920.62 and 1,993.82 is: 2,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.76 : 4,920.62 = 1,993.82 : x
  2. Step 2: Convert to fraction form
    3,565.76/4,920.62 = 1,993.82/x
  3. Step 3: Cross multiply
    3,565.76x = 4,920.62 × 1,993.82
  4. Step 4: Simplify right side
    3,565.76x = 9,810,796.00
  5. Step 5: Solve for x
    x = 9,810,796.00/3,565.76
  6. Step 6: Final answer
    x = 2,751.39

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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.