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Finding the Fourth Proportional to 5,131.86, 7,701.15 and 3,185.40

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Solution

The fourth proportional to 5,131.86, 7,701.15 and 3,185.40 is: 4,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.86 : 7,701.15 = 3,185.40 : x
  2. Step 2: Convert to fraction form
    5,131.86/7,701.15 = 3,185.40/x
  3. Step 3: Cross multiply
    5,131.86x = 7,701.15 × 3,185.40
  4. Step 4: Simplify right side
    5,131.86x = 24,531,243.21
  5. Step 5: Solve for x
    x = 24,531,243.21/5,131.86
  6. Step 6: Final answer
    x = 4,780.19

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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.