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Finding the Fourth Proportional to 3,900.04, 5,852.50 and 1,591.54

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Solution

The fourth proportional to 3,900.04, 5,852.50 and 1,591.54 is: 2,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.04 : 5,852.50 = 1,591.54 : x
  2. Step 2: Convert to fraction form
    3,900.04/5,852.50 = 1,591.54/x
  3. Step 3: Cross multiply
    3,900.04x = 5,852.50 × 1,591.54
  4. Step 4: Simplify right side
    3,900.04x = 9,314,487.85
  5. Step 5: Solve for x
    x = 9,314,487.85/3,900.04
  6. Step 6: Final answer
    x = 2,388.31

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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.