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Finding the Fourth Proportional to 4,146.51, 5,722.13 and 2,353.97

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Solution

The fourth proportional to 4,146.51, 5,722.13 and 2,353.97 is: 3,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.51 : 5,722.13 = 2,353.97 : x
  2. Step 2: Convert to fraction form
    4,146.51/5,722.13 = 2,353.97/x
  3. Step 3: Cross multiply
    4,146.51x = 5,722.13 × 2,353.97
  4. Step 4: Simplify right side
    4,146.51x = 13,469,744.45
  5. Step 5: Solve for x
    x = 13,469,744.45/4,146.51
  6. Step 6: Final answer
    x = 3,248.45

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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.