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Finding the Fourth Proportional to 3,654.72, 5,477.22 and 3,165.48

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Solution

The fourth proportional to 3,654.72, 5,477.22 and 3,165.48 is: 4,744.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.72 : 5,477.22 = 3,165.48 : x
  2. Step 2: Convert to fraction form
    3,654.72/5,477.22 = 3,165.48/x
  3. Step 3: Cross multiply
    3,654.72x = 5,477.22 × 3,165.48
  4. Step 4: Simplify right side
    3,654.72x = 17,338,030.37
  5. Step 5: Solve for x
    x = 17,338,030.37/3,654.72
  6. Step 6: Final answer
    x = 4,744.01

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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.