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Finding the Fourth Proportional to 5,256.29, 7,257.09 and 3,368.64

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Solution

The fourth proportional to 5,256.29, 7,257.09 and 3,368.64 is: 4,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.29 : 7,257.09 = 3,368.64 : x
  2. Step 2: Convert to fraction form
    5,256.29/7,257.09 = 3,368.64/x
  3. Step 3: Cross multiply
    5,256.29x = 7,257.09 × 3,368.64
  4. Step 4: Simplify right side
    5,256.29x = 24,446,523.66
  5. Step 5: Solve for x
    x = 24,446,523.66/5,256.29
  6. Step 6: Final answer
    x = 4,650.91

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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.