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Finding the Fourth Proportional to 4,720.71, 6,514.05 and 2,731.89

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Solution

The fourth proportional to 4,720.71, 6,514.05 and 2,731.89 is: 3,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.71 : 6,514.05 = 2,731.89 : x
  2. Step 2: Convert to fraction form
    4,720.71/6,514.05 = 2,731.89/x
  3. Step 3: Cross multiply
    4,720.71x = 6,514.05 × 2,731.89
  4. Step 4: Simplify right side
    4,720.71x = 17,795,668.05
  5. Step 5: Solve for x
    x = 17,795,668.05/4,720.71
  6. Step 6: Final answer
    x = 3,769.70

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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.