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Finding the Fourth Proportional to 5,447.36, 7,507.14 and 3,872.72

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Solution

The fourth proportional to 5,447.36, 7,507.14 and 3,872.72 is: 5,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.36 : 7,507.14 = 3,872.72 : x
  2. Step 2: Convert to fraction form
    5,447.36/7,507.14 = 3,872.72/x
  3. Step 3: Cross multiply
    5,447.36x = 7,507.14 × 3,872.72
  4. Step 4: Simplify right side
    5,447.36x = 29,073,051.22
  5. Step 5: Solve for x
    x = 29,073,051.22/5,447.36
  6. Step 6: Final answer
    x = 5,337.09

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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.