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Finding the Fourth Proportional to 5,201.64, 7,796.90 and 2,425.08

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Solution

The fourth proportional to 5,201.64, 7,796.90 and 2,425.08 is: 3,635.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.64 : 7,796.90 = 2,425.08 : x
  2. Step 2: Convert to fraction form
    5,201.64/7,796.90 = 2,425.08/x
  3. Step 3: Cross multiply
    5,201.64x = 7,796.90 × 2,425.08
  4. Step 4: Simplify right side
    5,201.64x = 18,908,106.25
  5. Step 5: Solve for x
    x = 18,908,106.25/5,201.64
  6. Step 6: Final answer
    x = 3,635.03

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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.