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Finding the Fourth Proportional to 3,757.30, 5,186.19 and 2,430.97

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Solution

The fourth proportional to 3,757.30, 5,186.19 and 2,430.97 is: 3,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.30 : 5,186.19 = 2,430.97 : x
  2. Step 2: Convert to fraction form
    3,757.30/5,186.19 = 2,430.97/x
  3. Step 3: Cross multiply
    3,757.30x = 5,186.19 × 2,430.97
  4. Step 4: Simplify right side
    3,757.30x = 12,607,472.30
  5. Step 5: Solve for x
    x = 12,607,472.30/3,757.30
  6. Step 6: Final answer
    x = 3,355.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.