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Finding the Fourth Proportional to 4,344.34, 6,509.31 and 3,908.02

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Solution

The fourth proportional to 4,344.34, 6,509.31 and 3,908.02 is: 5,855.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.34 : 6,509.31 = 3,908.02 : x
  2. Step 2: Convert to fraction form
    4,344.34/6,509.31 = 3,908.02/x
  3. Step 3: Cross multiply
    4,344.34x = 6,509.31 × 3,908.02
  4. Step 4: Simplify right side
    4,344.34x = 25,438,513.67
  5. Step 5: Solve for x
    x = 25,438,513.67/4,344.34
  6. Step 6: Final answer
    x = 5,855.55

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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.