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Finding the Fourth Proportional to 3,632.65, 5,009.78 and 3,072.53

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Solution

The fourth proportional to 3,632.65, 5,009.78 and 3,072.53 is: 4,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.65 : 5,009.78 = 3,072.53 : x
  2. Step 2: Convert to fraction form
    3,632.65/5,009.78 = 3,072.53/x
  3. Step 3: Cross multiply
    3,632.65x = 5,009.78 × 3,072.53
  4. Step 4: Simplify right side
    3,632.65x = 15,392,719.55
  5. Step 5: Solve for x
    x = 15,392,719.55/3,632.65
  6. Step 6: Final answer
    x = 4,237.33

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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.