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Finding the Fourth Proportional to 5,971.40, 8,958.62 and 4,219.88

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Solution

The fourth proportional to 5,971.40, 8,958.62 and 4,219.88 is: 6,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.40 : 8,958.62 = 4,219.88 : x
  2. Step 2: Convert to fraction form
    5,971.40/8,958.62 = 4,219.88/x
  3. Step 3: Cross multiply
    5,971.40x = 8,958.62 × 4,219.88
  4. Step 4: Simplify right side
    5,971.40x = 37,804,267.12
  5. Step 5: Solve for x
    x = 37,804,267.12/5,971.40
  6. Step 6: Final answer
    x = 6,330.89

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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.