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Finding the Fourth Proportional to 3,490.89, 5,240.06 and 1,412.25

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Solution

The fourth proportional to 3,490.89, 5,240.06 and 1,412.25 is: 2,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.89 : 5,240.06 = 1,412.25 : x
  2. Step 2: Convert to fraction form
    3,490.89/5,240.06 = 1,412.25/x
  3. Step 3: Cross multiply
    3,490.89x = 5,240.06 × 1,412.25
  4. Step 4: Simplify right side
    3,490.89x = 7,400,267.30
  5. Step 5: Solve for x
    x = 7,400,267.30/3,490.89
  6. Step 6: Final answer
    x = 2,119.88

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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.