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Finding the Fourth Proportional to 5,044.34, 6,960.80 and 2,806.32

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Solution

The fourth proportional to 5,044.34, 6,960.80 and 2,806.32 is: 3,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.34 : 6,960.80 = 2,806.32 : x
  2. Step 2: Convert to fraction form
    5,044.34/6,960.80 = 2,806.32/x
  3. Step 3: Cross multiply
    5,044.34x = 6,960.80 × 2,806.32
  4. Step 4: Simplify right side
    5,044.34x = 19,534,232.26
  5. Step 5: Solve for x
    x = 19,534,232.26/5,044.34
  6. Step 6: Final answer
    x = 3,872.51

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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.