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Finding the Fourth Proportional to 5,443.84, 8,164.56 and 1,548.16

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Solution

The fourth proportional to 5,443.84, 8,164.56 and 1,548.16 is: 2,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.84 : 8,164.56 = 1,548.16 : x
  2. Step 2: Convert to fraction form
    5,443.84/8,164.56 = 1,548.16/x
  3. Step 3: Cross multiply
    5,443.84x = 8,164.56 × 1,548.16
  4. Step 4: Simplify right side
    5,443.84x = 12,640,045.21
  5. Step 5: Solve for x
    x = 12,640,045.21/5,443.84
  6. Step 6: Final answer
    x = 2,321.90

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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.