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Finding the Fourth Proportional to 4,720.46, 6,513.71 and 2,731.64

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Solution

The fourth proportional to 4,720.46, 6,513.71 and 2,731.64 is: 3,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.46 : 6,513.71 = 2,731.64 : x
  2. Step 2: Convert to fraction form
    4,720.46/6,513.71 = 2,731.64/x
  3. Step 3: Cross multiply
    4,720.46x = 6,513.71 × 2,731.64
  4. Step 4: Simplify right side
    4,720.46x = 17,793,113.41
  5. Step 5: Solve for x
    x = 17,793,113.41/4,720.46
  6. Step 6: Final answer
    x = 3,769.36

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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.