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Finding the Fourth Proportional to 4,232.40, 6,353.40 and 2,283.60

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Solution

The fourth proportional to 4,232.40, 6,353.40 and 2,283.60 is: 3,427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.40 : 6,353.40 = 2,283.60 : x
  2. Step 2: Convert to fraction form
    4,232.40/6,353.40 = 2,283.60/x
  3. Step 3: Cross multiply
    4,232.40x = 6,353.40 × 2,283.60
  4. Step 4: Simplify right side
    4,232.40x = 14,508,624.24
  5. Step 5: Solve for x
    x = 14,508,624.24/4,232.40
  6. Step 6: Final answer
    x = 3,427.99

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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.