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Finding the Fourth Proportional to 4,909.69, 7,364.87 and 1,399.97

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Solution

The fourth proportional to 4,909.69, 7,364.87 and 1,399.97 is: 2,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.69 : 7,364.87 = 1,399.97 : x
  2. Step 2: Convert to fraction form
    4,909.69/7,364.87 = 1,399.97/x
  3. Step 3: Cross multiply
    4,909.69x = 7,364.87 × 1,399.97
  4. Step 4: Simplify right side
    4,909.69x = 10,310,597.05
  5. Step 5: Solve for x
    x = 10,310,597.05/4,909.69
  6. Step 6: Final answer
    x = 2,100.05

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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.