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Finding the Fourth Proportional to 4,548.40, 6,822.24 and 1,626.40

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Solution

The fourth proportional to 4,548.40, 6,822.24 and 1,626.40 is: 2,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.40 : 6,822.24 = 1,626.40 : x
  2. Step 2: Convert to fraction form
    4,548.40/6,822.24 = 1,626.40/x
  3. Step 3: Cross multiply
    4,548.40x = 6,822.24 × 1,626.40
  4. Step 4: Simplify right side
    4,548.40x = 11,095,691.14
  5. Step 5: Solve for x
    x = 11,095,691.14/4,548.40
  6. Step 6: Final answer
    x = 2,439.47

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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.