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Finding the Fourth Proportional to 4,655.42, 6,975.85 and 3,959.23

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Solution

The fourth proportional to 4,655.42, 6,975.85 and 3,959.23 is: 5,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.42 : 6,975.85 = 3,959.23 : x
  2. Step 2: Convert to fraction form
    4,655.42/6,975.85 = 3,959.23/x
  3. Step 3: Cross multiply
    4,655.42x = 6,975.85 × 3,959.23
  4. Step 4: Simplify right side
    4,655.42x = 27,618,976.63
  5. Step 5: Solve for x
    x = 27,618,976.63/4,655.42
  6. Step 6: Final answer
    x = 5,932.64

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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.