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Finding the Fourth Proportional to 4,732.96, 6,532.32 and 2,966.08

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Solution

The fourth proportional to 4,732.96, 6,532.32 and 2,966.08 is: 4,093.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.96 : 6,532.32 = 2,966.08 : x
  2. Step 2: Convert to fraction form
    4,732.96/6,532.32 = 2,966.08/x
  3. Step 3: Cross multiply
    4,732.96x = 6,532.32 × 2,966.08
  4. Step 4: Simplify right side
    4,732.96x = 19,375,383.71
  5. Step 5: Solve for x
    x = 19,375,383.71/4,732.96
  6. Step 6: Final answer
    x = 4,093.71

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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.