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Finding the Fourth Proportional to 3,767.75, 5,654.37 and 3,636.53

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Solution

The fourth proportional to 3,767.75, 5,654.37 and 3,636.53 is: 5,457.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.75 : 5,654.37 = 3,636.53 : x
  2. Step 2: Convert to fraction form
    3,767.75/5,654.37 = 3,636.53/x
  3. Step 3: Cross multiply
    3,767.75x = 5,654.37 × 3,636.53
  4. Step 4: Simplify right side
    3,767.75x = 20,562,292.71
  5. Step 5: Solve for x
    x = 20,562,292.71/3,767.75
  6. Step 6: Final answer
    x = 5,457.45

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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.