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Finding the Fourth Proportional to 5,102.88, 7,644.72 and 4,308

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Solution

The fourth proportional to 5,102.88, 7,644.72 and 4,308 is: 6,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.88 : 7,644.72 = 4,308 : x
  2. Step 2: Convert to fraction form
    5,102.88/7,644.72 = 4,308/x
  3. Step 3: Cross multiply
    5,102.88x = 7,644.72 × 4,308
  4. Step 4: Simplify right side
    5,102.88x = 32,933,453.76
  5. Step 5: Solve for x
    x = 32,933,453.76/5,102.88
  6. Step 6: Final answer
    x = 6,453.90

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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.