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Finding the Fourth Proportional to 3,149.96, 4,723.32 and 958.44

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Solution

The fourth proportional to 3,149.96, 4,723.32 and 958.44 is: 1,437.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.96 : 4,723.32 = 958.44 : x
  2. Step 2: Convert to fraction form
    3,149.96/4,723.32 = 958.44/x
  3. Step 3: Cross multiply
    3,149.96x = 4,723.32 × 958.44
  4. Step 4: Simplify right side
    3,149.96x = 4,527,018.82
  5. Step 5: Solve for x
    x = 4,527,018.82/3,149.96
  6. Step 6: Final answer
    x = 1,437.17

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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.