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Finding the Fourth Proportional to 3,645.57, 5,032.80 and 2,584.22

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Solution

The fourth proportional to 3,645.57, 5,032.80 and 2,584.22 is: 3,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.57 : 5,032.80 = 2,584.22 : x
  2. Step 2: Convert to fraction form
    3,645.57/5,032.80 = 2,584.22/x
  3. Step 3: Cross multiply
    3,645.57x = 5,032.80 × 2,584.22
  4. Step 4: Simplify right side
    3,645.57x = 13,005,837.25
  5. Step 5: Solve for x
    x = 13,005,837.25/3,645.57
  6. Step 6: Final answer
    x = 3,567.57

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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.