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Finding the Fourth Proportional to 3,645.82, 5,029.47 and 3,504.34

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Solution

The fourth proportional to 3,645.82, 5,029.47 and 3,504.34 is: 4,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.82 : 5,029.47 = 3,504.34 : x
  2. Step 2: Convert to fraction form
    3,645.82/5,029.47 = 3,504.34/x
  3. Step 3: Cross multiply
    3,645.82x = 5,029.47 × 3,504.34
  4. Step 4: Simplify right side
    3,645.82x = 17,625,009.19
  5. Step 5: Solve for x
    x = 17,625,009.19/3,645.82
  6. Step 6: Final answer
    x = 4,834.31

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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.