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Finding the Fourth Proportional to 5,172.56, 7,145.44 and 4,008.64

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Solution

The fourth proportional to 5,172.56, 7,145.44 and 4,008.64 is: 5,537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.56 : 7,145.44 = 4,008.64 : x
  2. Step 2: Convert to fraction form
    5,172.56/7,145.44 = 4,008.64/x
  3. Step 3: Cross multiply
    5,172.56x = 7,145.44 × 4,008.64
  4. Step 4: Simplify right side
    5,172.56x = 28,643,496.60
  5. Step 5: Solve for x
    x = 28,643,496.60/5,172.56
  6. Step 6: Final answer
    x = 5,537.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.