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Finding the Fourth Proportional to 3,632.41, 5,438.82 and 2,309

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Solution

The fourth proportional to 3,632.41, 5,438.82 and 2,309 is: 3,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.41 : 5,438.82 = 2,309 : x
  2. Step 2: Convert to fraction form
    3,632.41/5,438.82 = 2,309/x
  3. Step 3: Cross multiply
    3,632.41x = 5,438.82 × 2,309
  4. Step 4: Simplify right side
    3,632.41x = 12,558,235.38
  5. Step 5: Solve for x
    x = 12,558,235.38/3,632.41
  6. Step 6: Final answer
    x = 3,457.28

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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.