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Finding the Fourth Proportional to 3,830.70, 5,740.56 and 1,638.84

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Solution

The fourth proportional to 3,830.70, 5,740.56 and 1,638.84 is: 2,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.70 : 5,740.56 = 1,638.84 : x
  2. Step 2: Convert to fraction form
    3,830.70/5,740.56 = 1,638.84/x
  3. Step 3: Cross multiply
    3,830.70x = 5,740.56 × 1,638.84
  4. Step 4: Simplify right side
    3,830.70x = 9,407,859.35
  5. Step 5: Solve for x
    x = 9,407,859.35/3,830.70
  6. Step 6: Final answer
    x = 2,455.91

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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.