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Finding the Fourth Proportional to 4,468.32, 6,173.92 and 4,310.64

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Solution

The fourth proportional to 4,468.32, 6,173.92 and 4,310.64 is: 5,956.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.32 : 6,173.92 = 4,310.64 : x
  2. Step 2: Convert to fraction form
    4,468.32/6,173.92 = 4,310.64/x
  3. Step 3: Cross multiply
    4,468.32x = 6,173.92 × 4,310.64
  4. Step 4: Simplify right side
    4,468.32x = 26,613,546.51
  5. Step 5: Solve for x
    x = 26,613,546.51/4,468.32
  6. Step 6: Final answer
    x = 5,956.05

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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.