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Finding the Fourth Proportional to 3,426.96, 5,127.81 and 2,423.34

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Solution

The fourth proportional to 3,426.96, 5,127.81 and 2,423.34 is: 3,626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.96 : 5,127.81 = 2,423.34 : x
  2. Step 2: Convert to fraction form
    3,426.96/5,127.81 = 2,423.34/x
  3. Step 3: Cross multiply
    3,426.96x = 5,127.81 × 2,423.34
  4. Step 4: Simplify right side
    3,426.96x = 12,426,427.09
  5. Step 5: Solve for x
    x = 12,426,427.09/3,426.96
  6. Step 6: Final answer
    x = 3,626.08

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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.