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Finding the Fourth Proportional to 5,443.69, 8,165.63 and 1,548.20

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Solution

The fourth proportional to 5,443.69, 8,165.63 and 1,548.20 is: 2,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.69 : 8,165.63 = 1,548.20 : x
  2. Step 2: Convert to fraction form
    5,443.69/8,165.63 = 1,548.20/x
  3. Step 3: Cross multiply
    5,443.69x = 8,165.63 × 1,548.20
  4. Step 4: Simplify right side
    5,443.69x = 12,641,991.41
  5. Step 5: Solve for x
    x = 12,641,991.41/5,443.69
  6. Step 6: Final answer
    x = 2,322.32

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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.