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Finding the Fourth Proportional to 5,443.68, 8,165.76 and 1,548.32

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Solution

The fourth proportional to 5,443.68, 8,165.76 and 1,548.32 is: 2,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.68 : 8,165.76 = 1,548.32 : x
  2. Step 2: Convert to fraction form
    5,443.68/8,165.76 = 1,548.32/x
  3. Step 3: Cross multiply
    5,443.68x = 8,165.76 × 1,548.32
  4. Step 4: Simplify right side
    5,443.68x = 12,643,209.52
  5. Step 5: Solve for x
    x = 12,643,209.52/5,443.68
  6. Step 6: Final answer
    x = 2,322.55

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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.