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Finding the Fourth Proportional to 3,673.14, 5,509.70 and 1,333.13

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Solution

The fourth proportional to 3,673.14, 5,509.70 and 1,333.13 is: 1,999.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.14 : 5,509.70 = 1,333.13 : x
  2. Step 2: Convert to fraction form
    3,673.14/5,509.70 = 1,333.13/x
  3. Step 3: Cross multiply
    3,673.14x = 5,509.70 × 1,333.13
  4. Step 4: Simplify right side
    3,673.14x = 7,345,163.47
  5. Step 5: Solve for x
    x = 7,345,163.47/3,673.14
  6. Step 6: Final answer
    x = 1,999.70

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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.