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Finding the Fourth Proportional to 3,460.51, 5,190.84 and 1,239.49

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Solution

The fourth proportional to 3,460.51, 5,190.84 and 1,239.49 is: 1,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.51 : 5,190.84 = 1,239.49 : x
  2. Step 2: Convert to fraction form
    3,460.51/5,190.84 = 1,239.49/x
  3. Step 3: Cross multiply
    3,460.51x = 5,190.84 × 1,239.49
  4. Step 4: Simplify right side
    3,460.51x = 6,433,991.17
  5. Step 5: Solve for x
    x = 6,433,991.17/3,460.51
  6. Step 6: Final answer
    x = 1,859.26

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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.