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Finding the Fourth Proportional to 4,662.32, 6,434.02 and 2,672.92

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Solution

The fourth proportional to 4,662.32, 6,434.02 and 2,672.92 is: 3,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.32 : 6,434.02 = 2,672.92 : x
  2. Step 2: Convert to fraction form
    4,662.32/6,434.02 = 2,672.92/x
  3. Step 3: Cross multiply
    4,662.32x = 6,434.02 × 2,672.92
  4. Step 4: Simplify right side
    4,662.32x = 17,197,620.74
  5. Step 5: Solve for x
    x = 17,197,620.74/4,662.32
  6. Step 6: Final answer
    x = 3,688.64

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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.