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Finding the Fourth Proportional to 3,405.60, 5,099.76 and 2,822.40

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Solution

The fourth proportional to 3,405.60, 5,099.76 and 2,822.40 is: 4,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.60 : 5,099.76 = 2,822.40 : x
  2. Step 2: Convert to fraction form
    3,405.60/5,099.76 = 2,822.40/x
  3. Step 3: Cross multiply
    3,405.60x = 5,099.76 × 2,822.40
  4. Step 4: Simplify right side
    3,405.60x = 14,393,562.62
  5. Step 5: Solve for x
    x = 14,393,562.62/3,405.60
  6. Step 6: Final answer
    x = 4,226.44

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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.