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Finding the Fourth Proportional to 4,881.96, 7,319.70 and 3,149.64

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Solution

The fourth proportional to 4,881.96, 7,319.70 and 3,149.64 is: 4,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.96 : 7,319.70 = 3,149.64 : x
  2. Step 2: Convert to fraction form
    4,881.96/7,319.70 = 3,149.64/x
  3. Step 3: Cross multiply
    4,881.96x = 7,319.70 × 3,149.64
  4. Step 4: Simplify right side
    4,881.96x = 23,054,419.91
  5. Step 5: Solve for x
    x = 23,054,419.91/4,881.96
  6. Step 6: Final answer
    x = 4,722.37

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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.