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Finding the Fourth Proportional to 3,706.29, 5,115.51 and 2,361.63

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Solution

The fourth proportional to 3,706.29, 5,115.51 and 2,361.63 is: 3,259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.29 : 5,115.51 = 2,361.63 : x
  2. Step 2: Convert to fraction form
    3,706.29/5,115.51 = 2,361.63/x
  3. Step 3: Cross multiply
    3,706.29x = 5,115.51 × 2,361.63
  4. Step 4: Simplify right side
    3,706.29x = 12,080,941.88
  5. Step 5: Solve for x
    x = 12,080,941.88/3,706.29
  6. Step 6: Final answer
    x = 3,259.58

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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.