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Finding the Fourth Proportional to 5,124.78, 7,674.48 and 4,202.64

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Solution

The fourth proportional to 5,124.78, 7,674.48 and 4,202.64 is: 6,293.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.78 : 7,674.48 = 4,202.64 : x
  2. Step 2: Convert to fraction form
    5,124.78/7,674.48 = 4,202.64/x
  3. Step 3: Cross multiply
    5,124.78x = 7,674.48 × 4,202.64
  4. Step 4: Simplify right side
    5,124.78x = 32,253,076.63
  5. Step 5: Solve for x
    x = 32,253,076.63/5,124.78
  6. Step 6: Final answer
    x = 6,293.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.