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Finding the Fourth Proportional to 3,902.42, 5,859.08 and 2,004.08

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Solution

The fourth proportional to 3,902.42, 5,859.08 and 2,004.08 is: 3,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.42 : 5,859.08 = 2,004.08 : x
  2. Step 2: Convert to fraction form
    3,902.42/5,859.08 = 2,004.08/x
  3. Step 3: Cross multiply
    3,902.42x = 5,859.08 × 2,004.08
  4. Step 4: Simplify right side
    3,902.42x = 11,742,040.76
  5. Step 5: Solve for x
    x = 11,742,040.76/3,902.42
  6. Step 6: Final answer
    x = 3,008.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.