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Finding the Fourth Proportional to 3,735.14, 5,602.70 and 1,395.05

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Solution

The fourth proportional to 3,735.14, 5,602.70 and 1,395.05 is: 2,092.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.14 : 5,602.70 = 1,395.05 : x
  2. Step 2: Convert to fraction form
    3,735.14/5,602.70 = 1,395.05/x
  3. Step 3: Cross multiply
    3,735.14x = 5,602.70 × 1,395.05
  4. Step 4: Simplify right side
    3,735.14x = 7,816,022.11
  5. Step 5: Solve for x
    x = 7,816,022.11/3,735.14
  6. Step 6: Final answer
    x = 2,092.57

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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.