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Finding the Fourth Proportional to 4,956.40, 7,439.46 and 3,775.42

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Solution

The fourth proportional to 4,956.40, 7,439.46 and 3,775.42 is: 5,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.40 : 7,439.46 = 3,775.42 : x
  2. Step 2: Convert to fraction form
    4,956.40/7,439.46 = 3,775.42/x
  3. Step 3: Cross multiply
    4,956.40x = 7,439.46 × 3,775.42
  4. Step 4: Simplify right side
    4,956.40x = 28,087,086.07
  5. Step 5: Solve for x
    x = 28,087,086.07/4,956.40
  6. Step 6: Final answer
    x = 5,666.83

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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.