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Finding the Fourth Proportional to 4,154.39, 5,733.07 and 2,361.88

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Solution

The fourth proportional to 4,154.39, 5,733.07 and 2,361.88 is: 3,259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.39 : 5,733.07 = 2,361.88 : x
  2. Step 2: Convert to fraction form
    4,154.39/5,733.07 = 2,361.88/x
  3. Step 3: Cross multiply
    4,154.39x = 5,733.07 × 2,361.88
  4. Step 4: Simplify right side
    4,154.39x = 13,540,811.56
  5. Step 5: Solve for x
    x = 13,540,811.56/4,154.39
  6. Step 6: Final answer
    x = 3,259.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.