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Finding the Fourth Proportional to 5,164.57, 7,745.47 and 2,242.19

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Solution

The fourth proportional to 5,164.57, 7,745.47 and 2,242.19 is: 3,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.57 : 7,745.47 = 2,242.19 : x
  2. Step 2: Convert to fraction form
    5,164.57/7,745.47 = 2,242.19/x
  3. Step 3: Cross multiply
    5,164.57x = 7,745.47 × 2,242.19
  4. Step 4: Simplify right side
    5,164.57x = 17,366,804.17
  5. Step 5: Solve for x
    x = 17,366,804.17/5,164.57
  6. Step 6: Final answer
    x = 3,362.68

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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.