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Finding the Fourth Proportional to 3,743.30, 5,230.90 and 3,743.30

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Solution

The fourth proportional to 3,743.30, 5,230.90 and 3,743.30 is: 5,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.30 : 5,230.90 = 3,743.30 : x
  2. Step 2: Convert to fraction form
    3,743.30/5,230.90 = 3,743.30/x
  3. Step 3: Cross multiply
    3,743.30x = 5,230.90 × 3,743.30
  4. Step 4: Simplify right side
    3,743.30x = 19,580,827.97
  5. Step 5: Solve for x
    x = 19,580,827.97/3,743.30
  6. Step 6: Final answer
    x = 5,230.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.