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Finding the Fourth Proportional to 4,865.09, 6,713.44 and 2,740.50

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Solution

The fourth proportional to 4,865.09, 6,713.44 and 2,740.50 is: 3,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.09 : 6,713.44 = 2,740.50 : x
  2. Step 2: Convert to fraction form
    4,865.09/6,713.44 = 2,740.50/x
  3. Step 3: Cross multiply
    4,865.09x = 6,713.44 × 2,740.50
  4. Step 4: Simplify right side
    4,865.09x = 18,398,175.47
  5. Step 5: Solve for x
    x = 18,398,175.47/4,865.09
  6. Step 6: Final answer
    x = 3,781.68

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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.