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Finding the Fourth Proportional to 3,744.64, 5,167.95 and 2,151.51

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Solution

The fourth proportional to 3,744.64, 5,167.95 and 2,151.51 is: 2,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.64 : 5,167.95 = 2,151.51 : x
  2. Step 2: Convert to fraction form
    3,744.64/5,167.95 = 2,151.51/x
  3. Step 3: Cross multiply
    3,744.64x = 5,167.95 × 2,151.51
  4. Step 4: Simplify right side
    3,744.64x = 11,118,896.10
  5. Step 5: Solve for x
    x = 11,118,896.10/3,744.64
  6. Step 6: Final answer
    x = 2,969.28

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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.