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Finding the Fourth Proportional to 5,128.64, 7,700.08 and 2,631.60

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Solution

The fourth proportional to 5,128.64, 7,700.08 and 2,631.60 is: 3,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.64 : 7,700.08 = 2,631.60 : x
  2. Step 2: Convert to fraction form
    5,128.64/7,700.08 = 2,631.60/x
  3. Step 3: Cross multiply
    5,128.64x = 7,700.08 × 2,631.60
  4. Step 4: Simplify right side
    5,128.64x = 20,263,530.53
  5. Step 5: Solve for x
    x = 20,263,530.53/5,128.64
  6. Step 6: Final answer
    x = 3,951.05

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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.