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Finding the Fourth Proportional to 5,261.28, 7,254.54 and 4,819.02

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Solution

The fourth proportional to 5,261.28, 7,254.54 and 4,819.02 is: 6,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.28 : 7,254.54 = 4,819.02 : x
  2. Step 2: Convert to fraction form
    5,261.28/7,254.54 = 4,819.02/x
  3. Step 3: Cross multiply
    5,261.28x = 7,254.54 × 4,819.02
  4. Step 4: Simplify right side
    5,261.28x = 34,959,773.35
  5. Step 5: Solve for x
    x = 34,959,773.35/5,261.28
  6. Step 6: Final answer
    x = 6,644.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.