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Finding the Fourth Proportional to 4,720.41, 6,514.02 and 2,731.05

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Solution

The fourth proportional to 4,720.41, 6,514.02 and 2,731.05 is: 3,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.41 : 6,514.02 = 2,731.05 : x
  2. Step 2: Convert to fraction form
    4,720.41/6,514.02 = 2,731.05/x
  3. Step 3: Cross multiply
    4,720.41x = 6,514.02 × 2,731.05
  4. Step 4: Simplify right side
    4,720.41x = 17,790,114.32
  5. Step 5: Solve for x
    x = 17,790,114.32/4,720.41
  6. Step 6: Final answer
    x = 3,768.76

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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.