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Finding the Fourth Proportional to 3,742.62, 5,164.74 and 2,064.18

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Solution

The fourth proportional to 3,742.62, 5,164.74 and 2,064.18 is: 2,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.62 : 5,164.74 = 2,064.18 : x
  2. Step 2: Convert to fraction form
    3,742.62/5,164.74 = 2,064.18/x
  3. Step 3: Cross multiply
    3,742.62x = 5,164.74 × 2,064.18
  4. Step 4: Simplify right side
    3,742.62x = 10,660,953.01
  5. Step 5: Solve for x
    x = 10,660,953.01/3,742.62
  6. Step 6: Final answer
    x = 2,848.53

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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.