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Finding the Fourth Proportional to 4,375.36, 6,564.84 and 2,425.24

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Solution

The fourth proportional to 4,375.36, 6,564.84 and 2,425.24 is: 3,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,375.36 : 6,564.84 = 2,425.24 : x
  2. Step 2: Convert to fraction form
    4,375.36/6,564.84 = 2,425.24/x
  3. Step 3: Cross multiply
    4,375.36x = 6,564.84 × 2,425.24
  4. Step 4: Simplify right side
    4,375.36x = 15,921,312.56
  5. Step 5: Solve for x
    x = 15,921,312.56/4,375.36
  6. Step 6: Final answer
    x = 3,638.86

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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.