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Finding the Fourth Proportional to 3,431.51, 4,732.02 and 3,052.21

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Solution

The fourth proportional to 3,431.51, 4,732.02 and 3,052.21 is: 4,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.51 : 4,732.02 = 3,052.21 : x
  2. Step 2: Convert to fraction form
    3,431.51/4,732.02 = 3,052.21/x
  3. Step 3: Cross multiply
    3,431.51x = 4,732.02 × 3,052.21
  4. Step 4: Simplify right side
    3,431.51x = 14,443,118.76
  5. Step 5: Solve for x
    x = 14,443,118.76/3,431.51
  6. Step 6: Final answer
    x = 4,208.97

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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.