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Finding the Fourth Proportional to 3,421.14, 4,742.90 and 3,243.29

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Solution

The fourth proportional to 3,421.14, 4,742.90 and 3,243.29 is: 4,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.14 : 4,742.90 = 3,243.29 : x
  2. Step 2: Convert to fraction form
    3,421.14/4,742.90 = 3,243.29/x
  3. Step 3: Cross multiply
    3,421.14x = 4,742.90 × 3,243.29
  4. Step 4: Simplify right side
    3,421.14x = 15,382,617.29
  5. Step 5: Solve for x
    x = 15,382,617.29/3,421.14
  6. Step 6: Final answer
    x = 4,496.35

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.