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Finding the Fourth Proportional to 3,900.90, 5,852.88 and 1,709.96

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Solution

The fourth proportional to 3,900.90, 5,852.88 and 1,709.96 is: 2,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.90 : 5,852.88 = 1,709.96 : x
  2. Step 2: Convert to fraction form
    3,900.90/5,852.88 = 1,709.96/x
  3. Step 3: Cross multiply
    3,900.90x = 5,852.88 × 1,709.96
  4. Step 4: Simplify right side
    3,900.90x = 10,008,190.68
  5. Step 5: Solve for x
    x = 10,008,190.68/3,900.90
  6. Step 6: Final answer
    x = 2,565.61

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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.