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Finding the Fourth Proportional to 5,256, 7,254.72 and 3,579.84

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Solution

The fourth proportional to 5,256, 7,254.72 and 3,579.84 is: 4,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256 : 7,254.72 = 3,579.84 : x
  2. Step 2: Convert to fraction form
    5,256/7,254.72 = 3,579.84/x
  3. Step 3: Cross multiply
    5,256x = 7,254.72 × 3,579.84
  4. Step 4: Simplify right side
    5,256x = 25,970,736.84
  5. Step 5: Solve for x
    x = 25,970,736.84/5,256
  6. Step 6: Final answer
    x = 4,941.16

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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.