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Finding the Fourth Proportional to 4,760.39, 6,569.02 and 2,770.63

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Solution

The fourth proportional to 4,760.39, 6,569.02 and 2,770.63 is: 3,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.39 : 6,569.02 = 2,770.63 : x
  2. Step 2: Convert to fraction form
    4,760.39/6,569.02 = 2,770.63/x
  3. Step 3: Cross multiply
    4,760.39x = 6,569.02 × 2,770.63
  4. Step 4: Simplify right side
    4,760.39x = 18,200,323.88
  5. Step 5: Solve for x
    x = 18,200,323.88/4,760.39
  6. Step 6: Final answer
    x = 3,823.28

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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.