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Finding the Fourth Proportional to 3,645.58, 5,032.52 and 2,805.96

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Solution

The fourth proportional to 3,645.58, 5,032.52 and 2,805.96 is: 3,873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.58 : 5,032.52 = 2,805.96 : x
  2. Step 2: Convert to fraction form
    3,645.58/5,032.52 = 2,805.96/x
  3. Step 3: Cross multiply
    3,645.58x = 5,032.52 × 2,805.96
  4. Step 4: Simplify right side
    3,645.58x = 14,121,049.82
  5. Step 5: Solve for x
    x = 14,121,049.82/3,645.58
  6. Step 6: Final answer
    x = 3,873.47

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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.