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Finding the Fourth Proportional to 3,662.31, 5,056.32 and 2,405.60

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Solution

The fourth proportional to 3,662.31, 5,056.32 and 2,405.60 is: 3,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.31 : 5,056.32 = 2,405.60 : x
  2. Step 2: Convert to fraction form
    3,662.31/5,056.32 = 2,405.60/x
  3. Step 3: Cross multiply
    3,662.31x = 5,056.32 × 2,405.60
  4. Step 4: Simplify right side
    3,662.31x = 12,163,446.08
  5. Step 5: Solve for x
    x = 12,163,446.08/3,662.31
  6. Step 6: Final answer
    x = 3,321.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.