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Finding the Fourth Proportional to 3,497.12, 5,244.84 and 1,548.24

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Solution

The fourth proportional to 3,497.12, 5,244.84 and 1,548.24 is: 2,321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.12 : 5,244.84 = 1,548.24 : x
  2. Step 2: Convert to fraction form
    3,497.12/5,244.84 = 1,548.24/x
  3. Step 3: Cross multiply
    3,497.12x = 5,244.84 × 1,548.24
  4. Step 4: Simplify right side
    3,497.12x = 8,120,271.08
  5. Step 5: Solve for x
    x = 8,120,271.08/3,497.12
  6. Step 6: Final answer
    x = 2,321.99

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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.