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Finding the Fourth Proportional to 5,971.85, 8,950.34 and 3,191.66

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Solution

The fourth proportional to 5,971.85, 8,950.34 and 3,191.66 is: 4,783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.85 : 8,950.34 = 3,191.66 : x
  2. Step 2: Convert to fraction form
    5,971.85/8,950.34 = 3,191.66/x
  3. Step 3: Cross multiply
    5,971.85x = 8,950.34 × 3,191.66
  4. Step 4: Simplify right side
    5,971.85x = 28,566,442.16
  5. Step 5: Solve for x
    x = 28,566,442.16/5,971.85
  6. Step 6: Final answer
    x = 4,783.52

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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.