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Finding the Fourth Proportional to 3,657.39, 5,031.25 and 3,207.23

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Solution

The fourth proportional to 3,657.39, 5,031.25 and 3,207.23 is: 4,411.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.39 : 5,031.25 = 3,207.23 : x
  2. Step 2: Convert to fraction form
    3,657.39/5,031.25 = 3,207.23/x
  3. Step 3: Cross multiply
    3,657.39x = 5,031.25 × 3,207.23
  4. Step 4: Simplify right side
    3,657.39x = 16,136,361.63
  5. Step 5: Solve for x
    x = 16,136,361.63/3,657.39
  6. Step 6: Final answer
    x = 4,411.99

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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.