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Finding the Fourth Proportional to 5,255.36, 7,256.10 and 3,490.64

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Solution

The fourth proportional to 5,255.36, 7,256.10 and 3,490.64 is: 4,819.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.36 : 7,256.10 = 3,490.64 : x
  2. Step 2: Convert to fraction form
    5,255.36/7,256.10 = 3,490.64/x
  3. Step 3: Cross multiply
    5,255.36x = 7,256.10 × 3,490.64
  4. Step 4: Simplify right side
    5,255.36x = 25,328,432.90
  5. Step 5: Solve for x
    x = 25,328,432.90/5,255.36
  6. Step 6: Final answer
    x = 4,819.54

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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.