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Finding the Fourth Proportional to 3,637.40, 5,456.10 and 3,418.70

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Solution

The fourth proportional to 3,637.40, 5,456.10 and 3,418.70 is: 5,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.40 : 5,456.10 = 3,418.70 : x
  2. Step 2: Convert to fraction form
    3,637.40/5,456.10 = 3,418.70/x
  3. Step 3: Cross multiply
    3,637.40x = 5,456.10 × 3,418.70
  4. Step 4: Simplify right side
    3,637.40x = 18,652,769.07
  5. Step 5: Solve for x
    x = 18,652,769.07/3,637.40
  6. Step 6: Final answer
    x = 5,128.05

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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.