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Finding the Fourth Proportional to 4,651.77, 6,419.37 and 2,527.23

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Solution

The fourth proportional to 4,651.77, 6,419.37 and 2,527.23 is: 3,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.77 : 6,419.37 = 2,527.23 : x
  2. Step 2: Convert to fraction form
    4,651.77/6,419.37 = 2,527.23/x
  3. Step 3: Cross multiply
    4,651.77x = 6,419.37 × 2,527.23
  4. Step 4: Simplify right side
    4,651.77x = 16,223,224.45
  5. Step 5: Solve for x
    x = 16,223,224.45/4,651.77
  6. Step 6: Final answer
    x = 3,487.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.