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Finding the Fourth Proportional to 3,662.70, 5,484.33 and 2,567.58

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Solution

The fourth proportional to 3,662.70, 5,484.33 and 2,567.58 is: 3,844.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.70 : 5,484.33 = 2,567.58 : x
  2. Step 2: Convert to fraction form
    3,662.70/5,484.33 = 2,567.58/x
  3. Step 3: Cross multiply
    3,662.70x = 5,484.33 × 2,567.58
  4. Step 4: Simplify right side
    3,662.70x = 14,081,456.02
  5. Step 5: Solve for x
    x = 14,081,456.02/3,662.70
  6. Step 6: Final answer
    x = 3,844.56

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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.