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Finding the Fourth Proportional to 5,149.02, 7,723.46 and 1,253.42

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Solution

The fourth proportional to 5,149.02, 7,723.46 and 1,253.42 is: 1,880.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.02 : 7,723.46 = 1,253.42 : x
  2. Step 2: Convert to fraction form
    5,149.02/7,723.46 = 1,253.42/x
  3. Step 3: Cross multiply
    5,149.02x = 7,723.46 × 1,253.42
  4. Step 4: Simplify right side
    5,149.02x = 9,680,739.23
  5. Step 5: Solve for x
    x = 9,680,739.23/5,149.02
  6. Step 6: Final answer
    x = 1,880.11

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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.