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Finding the Fourth Proportional to 3,565.16, 4,919.92 and 1,993.26

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Solution

The fourth proportional to 3,565.16, 4,919.92 and 1,993.26 is: 2,750.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.16 : 4,919.92 = 1,993.26 : x
  2. Step 2: Convert to fraction form
    3,565.16/4,919.92 = 1,993.26/x
  3. Step 3: Cross multiply
    3,565.16x = 4,919.92 × 1,993.26
  4. Step 4: Simplify right side
    3,565.16x = 9,806,676.74
  5. Step 5: Solve for x
    x = 9,806,676.74/3,565.16
  6. Step 6: Final answer
    x = 2,750.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.