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Finding the Fourth Proportional to 4,717.27, 7,076.27 and 1,254.07

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Solution

The fourth proportional to 4,717.27, 7,076.27 and 1,254.07 is: 1,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.27 : 7,076.27 = 1,254.07 : x
  2. Step 2: Convert to fraction form
    4,717.27/7,076.27 = 1,254.07/x
  3. Step 3: Cross multiply
    4,717.27x = 7,076.27 × 1,254.07
  4. Step 4: Simplify right side
    4,717.27x = 8,874,137.92
  5. Step 5: Solve for x
    x = 8,874,137.92/4,717.27
  6. Step 6: Final answer
    x = 1,881.20

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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.