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Finding the Fourth Proportional to 3,726.33, 5,587.29 and 1,645.29

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Solution

The fourth proportional to 3,726.33, 5,587.29 and 1,645.29 is: 2,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.33 : 5,587.29 = 1,645.29 : x
  2. Step 2: Convert to fraction form
    3,726.33/5,587.29 = 1,645.29/x
  3. Step 3: Cross multiply
    3,726.33x = 5,587.29 × 1,645.29
  4. Step 4: Simplify right side
    3,726.33x = 9,192,712.36
  5. Step 5: Solve for x
    x = 9,192,712.36/3,726.33
  6. Step 6: Final answer
    x = 2,466.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.