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Finding the Fourth Proportional to 3,637.68, 5,451.86 and 3,167.22

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Solution

The fourth proportional to 3,637.68, 5,451.86 and 3,167.22 is: 4,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.68 : 5,451.86 = 3,167.22 : x
  2. Step 2: Convert to fraction form
    3,637.68/5,451.86 = 3,167.22/x
  3. Step 3: Cross multiply
    3,637.68x = 5,451.86 × 3,167.22
  4. Step 4: Simplify right side
    3,637.68x = 17,267,219.91
  5. Step 5: Solve for x
    x = 17,267,219.91/3,637.68
  6. Step 6: Final answer
    x = 4,746.77

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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.