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Finding the Fourth Proportional to 3,742.04, 5,164.05 and 2,063.51

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Solution

The fourth proportional to 3,742.04, 5,164.05 and 2,063.51 is: 2,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.04 : 5,164.05 = 2,063.51 : x
  2. Step 2: Convert to fraction form
    3,742.04/5,164.05 = 2,063.51/x
  3. Step 3: Cross multiply
    3,742.04x = 5,164.05 × 2,063.51
  4. Step 4: Simplify right side
    3,742.04x = 10,656,043.00
  5. Step 5: Solve for x
    x = 10,656,043.00/3,742.04
  6. Step 6: Final answer
    x = 2,847.65

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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.