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Finding the Fourth Proportional to 3,149.04, 4,723.60 and 958.30

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Solution

The fourth proportional to 3,149.04, 4,723.60 and 958.30 is: 1,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.04 : 4,723.60 = 958.30 : x
  2. Step 2: Convert to fraction form
    3,149.04/4,723.60 = 958.30/x
  3. Step 3: Cross multiply
    3,149.04x = 4,723.60 × 958.30
  4. Step 4: Simplify right side
    3,149.04x = 4,526,625.88
  5. Step 5: Solve for x
    x = 4,526,625.88/3,149.04
  6. Step 6: Final answer
    x = 1,437.46

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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.