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Finding the Fourth Proportional to 3,886.70, 5,830.05 and 3,659.90

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Solution

The fourth proportional to 3,886.70, 5,830.05 and 3,659.90 is: 5,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.70 : 5,830.05 = 3,659.90 : x
  2. Step 2: Convert to fraction form
    3,886.70/5,830.05 = 3,659.90/x
  3. Step 3: Cross multiply
    3,886.70x = 5,830.05 × 3,659.90
  4. Step 4: Simplify right side
    3,886.70x = 21,337,400.00
  5. Step 5: Solve for x
    x = 21,337,400.00/3,886.70
  6. Step 6: Final answer
    x = 5,489.85

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