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Finding the Fourth Proportional to 5,254.62, 7,892.86 and 4,434.48

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Solution

The fourth proportional to 5,254.62, 7,892.86 and 4,434.48 is: 6,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.62 : 7,892.86 = 4,434.48 : x
  2. Step 2: Convert to fraction form
    5,254.62/7,892.86 = 4,434.48/x
  3. Step 3: Cross multiply
    5,254.62x = 7,892.86 × 4,434.48
  4. Step 4: Simplify right side
    5,254.62x = 35,000,729.81
  5. Step 5: Solve for x
    x = 35,000,729.81/5,254.62
  6. Step 6: Final answer
    x = 6,660.94

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Why These Related Problems?

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