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Finding the Fourth Proportional to 4,913.86, 7,370.52 and 1,991.38

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Solution

The fourth proportional to 4,913.86, 7,370.52 and 1,991.38 is: 2,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.86 : 7,370.52 = 1,991.38 : x
  2. Step 2: Convert to fraction form
    4,913.86/7,370.52 = 1,991.38/x
  3. Step 3: Cross multiply
    4,913.86x = 7,370.52 × 1,991.38
  4. Step 4: Simplify right side
    4,913.86x = 14,677,506.12
  5. Step 5: Solve for x
    x = 14,677,506.12/4,913.86
  6. Step 6: Final answer
    x = 2,986.96

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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.