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Finding the Fourth Proportional to 3,523.69, 4,857.06 and 2,776.42

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Solution

The fourth proportional to 3,523.69, 4,857.06 and 2,776.42 is: 3,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.69 : 4,857.06 = 2,776.42 : x
  2. Step 2: Convert to fraction form
    3,523.69/4,857.06 = 2,776.42/x
  3. Step 3: Cross multiply
    3,523.69x = 4,857.06 × 2,776.42
  4. Step 4: Simplify right side
    3,523.69x = 13,485,238.53
  5. Step 5: Solve for x
    x = 13,485,238.53/3,523.69
  6. Step 6: Final answer
    x = 3,827.02

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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.