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Finding the Fourth Proportional to 3,431.81, 4,723.13 and 2,829.49

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Solution

The fourth proportional to 3,431.81, 4,723.13 and 2,829.49 is: 3,894.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.81 : 4,723.13 = 2,829.49 : x
  2. Step 2: Convert to fraction form
    3,431.81/4,723.13 = 2,829.49/x
  3. Step 3: Cross multiply
    3,431.81x = 4,723.13 × 2,829.49
  4. Step 4: Simplify right side
    3,431.81x = 13,364,044.37
  5. Step 5: Solve for x
    x = 13,364,044.37/3,431.81
  6. Step 6: Final answer
    x = 3,894.17

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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.