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Finding the Fourth Proportional to 3,762.11, 5,641.26 and 2,202.58

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Solution

The fourth proportional to 3,762.11, 5,641.26 and 2,202.58 is: 3,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.11 : 5,641.26 = 2,202.58 : x
  2. Step 2: Convert to fraction form
    3,762.11/5,641.26 = 2,202.58/x
  3. Step 3: Cross multiply
    3,762.11x = 5,641.26 × 2,202.58
  4. Step 4: Simplify right side
    3,762.11x = 12,425,312.35
  5. Step 5: Solve for x
    x = 12,425,312.35/3,762.11
  6. Step 6: Final answer
    x = 3,302.76

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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.