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Finding the Fourth Proportional to 3,632.84, 5,449.59 and 1,411.62

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Solution

The fourth proportional to 3,632.84, 5,449.59 and 1,411.62 is: 2,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.84 : 5,449.59 = 1,411.62 : x
  2. Step 2: Convert to fraction form
    3,632.84/5,449.59 = 1,411.62/x
  3. Step 3: Cross multiply
    3,632.84x = 5,449.59 × 1,411.62
  4. Step 4: Simplify right side
    3,632.84x = 7,692,760.33
  5. Step 5: Solve for x
    x = 7,692,760.33/3,632.84
  6. Step 6: Final answer
    x = 2,117.56

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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.