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Finding the Fourth Proportional to 3,762.20, 5,636.80 and 2,494.96

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Solution

The fourth proportional to 3,762.20, 5,636.80 and 2,494.96 is: 3,738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.20 : 5,636.80 = 2,494.96 : x
  2. Step 2: Convert to fraction form
    3,762.20/5,636.80 = 2,494.96/x
  3. Step 3: Cross multiply
    3,762.20x = 5,636.80 × 2,494.96
  4. Step 4: Simplify right side
    3,762.20x = 14,063,590.53
  5. Step 5: Solve for x
    x = 14,063,590.53/3,762.20
  6. Step 6: Final answer
    x = 3,738.13

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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.