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Finding the Fourth Proportional to 5,044.64, 6,960.80 and 2,806.51

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Solution

The fourth proportional to 5,044.64, 6,960.80 and 2,806.51 is: 3,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.64 : 6,960.80 = 2,806.51 : x
  2. Step 2: Convert to fraction form
    5,044.64/6,960.80 = 2,806.51/x
  3. Step 3: Cross multiply
    5,044.64x = 6,960.80 × 2,806.51
  4. Step 4: Simplify right side
    5,044.64x = 19,535,554.81
  5. Step 5: Solve for x
    x = 19,535,554.81/5,044.64
  6. Step 6: Final answer
    x = 3,872.54

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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.