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Finding the Fourth Proportional to 3,776.36, 5,209.92 and 2,784

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Solution

The fourth proportional to 3,776.36, 5,209.92 and 2,784 is: 3,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.36 : 5,209.92 = 2,784 : x
  2. Step 2: Convert to fraction form
    3,776.36/5,209.92 = 2,784/x
  3. Step 3: Cross multiply
    3,776.36x = 5,209.92 × 2,784
  4. Step 4: Simplify right side
    3,776.36x = 14,504,417.28
  5. Step 5: Solve for x
    x = 14,504,417.28/3,776.36
  6. Step 6: Final answer
    x = 3,840.85

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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.