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Finding the Fourth Proportional to 4,867, 6,715.36 and 2,877.64

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Solution

The fourth proportional to 4,867, 6,715.36 and 2,877.64 is: 3,970.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867 : 6,715.36 = 2,877.64 : x
  2. Step 2: Convert to fraction form
    4,867/6,715.36 = 2,877.64/x
  3. Step 3: Cross multiply
    4,867x = 6,715.36 × 2,877.64
  4. Step 4: Simplify right side
    4,867x = 19,324,388.55
  5. Step 5: Solve for x
    x = 19,324,388.55/4,867
  6. Step 6: Final answer
    x = 3,970.49

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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.