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Finding the Fourth Proportional to 3,604.53, 5,406.78 and 1,411.71

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Solution

The fourth proportional to 3,604.53, 5,406.78 and 1,411.71 is: 2,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.53 : 5,406.78 = 1,411.71 : x
  2. Step 2: Convert to fraction form
    3,604.53/5,406.78 = 1,411.71/x
  3. Step 3: Cross multiply
    3,604.53x = 5,406.78 × 1,411.71
  4. Step 4: Simplify right side
    3,604.53x = 7,632,805.39
  5. Step 5: Solve for x
    x = 7,632,805.39/3,604.53
  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.