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Finding the Fourth Proportional to 3,021.86, 4,532.23 and 1,047.49

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Solution

The fourth proportional to 3,021.86, 4,532.23 and 1,047.49 is: 1,571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.86 : 4,532.23 = 1,047.49 : x
  2. Step 2: Convert to fraction form
    3,021.86/4,532.23 = 1,047.49/x
  3. Step 3: Cross multiply
    3,021.86x = 4,532.23 × 1,047.49
  4. Step 4: Simplify right side
    3,021.86x = 4,747,465.60
  5. Step 5: Solve for x
    x = 4,747,465.60/3,021.86
  6. Step 6: Final answer
    x = 1,571.04

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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.