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Finding the Fourth Proportional to 5,165.36, 7,743.69 and 2,241.47

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Solution

The fourth proportional to 5,165.36, 7,743.69 and 2,241.47 is: 3,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.36 : 7,743.69 = 2,241.47 : x
  2. Step 2: Convert to fraction form
    5,165.36/7,743.69 = 2,241.47/x
  3. Step 3: Cross multiply
    5,165.36x = 7,743.69 × 2,241.47
  4. Step 4: Simplify right side
    5,165.36x = 17,357,210.11
  5. Step 5: Solve for x
    x = 17,357,210.11/5,165.36
  6. Step 6: Final answer
    x = 3,360.31

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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.