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Finding the Fourth Proportional to 3,900.40, 5,836.22 and 2,341.35

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Solution

The fourth proportional to 3,900.40, 5,836.22 and 2,341.35 is: 3,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.40 : 5,836.22 = 2,341.35 : x
  2. Step 2: Convert to fraction form
    3,900.40/5,836.22 = 2,341.35/x
  3. Step 3: Cross multiply
    3,900.40x = 5,836.22 × 2,341.35
  4. Step 4: Simplify right side
    3,900.40x = 13,664,633.70
  5. Step 5: Solve for x
    x = 13,664,633.70/3,900.40
  6. Step 6: Final answer
    x = 3,503.39

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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.