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Finding the Fourth Proportional to 4,866.63, 6,715.95 and 2,770.75

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Solution

The fourth proportional to 4,866.63, 6,715.95 and 2,770.75 is: 3,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.63 : 6,715.95 = 2,770.75 : x
  2. Step 2: Convert to fraction form
    4,866.63/6,715.95 = 2,770.75/x
  3. Step 3: Cross multiply
    4,866.63x = 6,715.95 × 2,770.75
  4. Step 4: Simplify right side
    4,866.63x = 18,608,218.46
  5. Step 5: Solve for x
    x = 18,608,218.46/4,866.63
  6. Step 6: Final answer
    x = 3,823.64

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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.