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Finding the Fourth Proportional to 4,713.50, 6,504.84 and 2,617.62

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Solution

The fourth proportional to 4,713.50, 6,504.84 and 2,617.62 is: 3,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.50 : 6,504.84 = 2,617.62 : x
  2. Step 2: Convert to fraction form
    4,713.50/6,504.84 = 2,617.62/x
  3. Step 3: Cross multiply
    4,713.50x = 6,504.84 × 2,617.62
  4. Step 4: Simplify right side
    4,713.50x = 17,027,199.28
  5. Step 5: Solve for x
    x = 17,027,199.28/4,713.50
  6. Step 6: Final answer
    x = 3,612.43

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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.