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Finding the Fourth Proportional to 3,632.41, 5,449.35 and 1,167.17

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Solution

The fourth proportional to 3,632.41, 5,449.35 and 1,167.17 is: 1,750.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.41 : 5,449.35 = 1,167.17 : x
  2. Step 2: Convert to fraction form
    3,632.41/5,449.35 = 1,167.17/x
  3. Step 3: Cross multiply
    3,632.41x = 5,449.35 × 1,167.17
  4. Step 4: Simplify right side
    3,632.41x = 6,360,317.84
  5. Step 5: Solve for x
    x = 6,360,317.84/3,632.41
  6. Step 6: Final answer
    x = 1,750.99

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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.