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Finding the Fourth Proportional to 4,891.20, 7,322.40 and 4,606.40

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Solution

The fourth proportional to 4,891.20, 7,322.40 and 4,606.40 is: 6,896.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.20 : 7,322.40 = 4,606.40 : x
  2. Step 2: Convert to fraction form
    4,891.20/7,322.40 = 4,606.40/x
  3. Step 3: Cross multiply
    4,891.20x = 7,322.40 × 4,606.40
  4. Step 4: Simplify right side
    4,891.20x = 33,729,903.36
  5. Step 5: Solve for x
    x = 33,729,903.36/4,891.20
  6. Step 6: Final answer
    x = 6,896.04

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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.