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Finding the Fourth Proportional to 3,318.53, 4,976.11 and 1,470.21

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Solution

The fourth proportional to 3,318.53, 4,976.11 and 1,470.21 is: 2,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.53 : 4,976.11 = 1,470.21 : x
  2. Step 2: Convert to fraction form
    3,318.53/4,976.11 = 1,470.21/x
  3. Step 3: Cross multiply
    3,318.53x = 4,976.11 × 1,470.21
  4. Step 4: Simplify right side
    3,318.53x = 7,315,923.01
  5. Step 5: Solve for x
    x = 7,315,923.01/3,318.53
  6. Step 6: Final answer
    x = 2,204.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.