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Finding the Fourth Proportional to 4,468.31, 6,173.93 and 4,310.63

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Solution

The fourth proportional to 4,468.31, 6,173.93 and 4,310.63 is: 5,956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.31 : 6,173.93 = 4,310.63 : x
  2. Step 2: Convert to fraction form
    4,468.31/6,173.93 = 4,310.63/x
  3. Step 3: Cross multiply
    4,468.31x = 6,173.93 × 4,310.63
  4. Step 4: Simplify right side
    4,468.31x = 26,613,527.88
  5. Step 5: Solve for x
    x = 26,613,527.88/4,468.31
  6. Step 6: Final answer
    x = 5,956.06

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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.