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Finding the Fourth Proportional to 4,731.60, 7,100.70 and 1,958.30

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Solution

The fourth proportional to 4,731.60, 7,100.70 and 1,958.30 is: 2,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.60 : 7,100.70 = 1,958.30 : x
  2. Step 2: Convert to fraction form
    4,731.60/7,100.70 = 1,958.30/x
  3. Step 3: Cross multiply
    4,731.60x = 7,100.70 × 1,958.30
  4. Step 4: Simplify right side
    4,731.60x = 13,905,265.31
  5. Step 5: Solve for x
    x = 13,905,265.31/4,731.60
  6. Step 6: Final answer
    x = 2,938.81

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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.