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Finding the Fourth Proportional to 3,147.69, 4,721.69 and 1,200.05

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Solution

The fourth proportional to 3,147.69, 4,721.69 and 1,200.05 is: 1,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.69 : 4,721.69 = 1,200.05 : x
  2. Step 2: Convert to fraction form
    3,147.69/4,721.69 = 1,200.05/x
  3. Step 3: Cross multiply
    3,147.69x = 4,721.69 × 1,200.05
  4. Step 4: Simplify right side
    3,147.69x = 5,666,243.48
  5. Step 5: Solve for x
    x = 5,666,243.48/3,147.69
  6. Step 6: Final answer
    x = 1,800.13

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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.