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Finding the Fourth Proportional to 3,150, 4,723.64 and 958.22

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Solution

The fourth proportional to 3,150, 4,723.64 and 958.22 is: 1,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150 : 4,723.64 = 958.22 : x
  2. Step 2: Convert to fraction form
    3,150/4,723.64 = 958.22/x
  3. Step 3: Cross multiply
    3,150x = 4,723.64 × 958.22
  4. Step 4: Simplify right side
    3,150x = 4,526,281.53
  5. Step 5: Solve for x
    x = 4,526,281.53/3,150
  6. Step 6: Final answer
    x = 1,436.91

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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.