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Finding the Fourth Proportional to 3,641.60, 5,462.40 and 2,263.70

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Solution

The fourth proportional to 3,641.60, 5,462.40 and 2,263.70 is: 3,395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.60 : 5,462.40 = 2,263.70 : x
  2. Step 2: Convert to fraction form
    3,641.60/5,462.40 = 2,263.70/x
  3. Step 3: Cross multiply
    3,641.60x = 5,462.40 × 2,263.70
  4. Step 4: Simplify right side
    3,641.60x = 12,365,234.88
  5. Step 5: Solve for x
    x = 12,365,234.88/3,641.60
  6. Step 6: Final answer
    x = 3,395.55

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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.