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Finding the Fourth Proportional to 4,399.42, 6,069.68 and 2,509.63

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Solution

The fourth proportional to 4,399.42, 6,069.68 and 2,509.63 is: 3,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,399.42 : 6,069.68 = 2,509.63 : x
  2. Step 2: Convert to fraction form
    4,399.42/6,069.68 = 2,509.63/x
  3. Step 3: Cross multiply
    4,399.42x = 6,069.68 × 2,509.63
  4. Step 4: Simplify right side
    4,399.42x = 15,232,651.02
  5. Step 5: Solve for x
    x = 15,232,651.02/4,399.42
  6. Step 6: Final answer
    x = 3,462.43

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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.