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Finding the Fourth Proportional to 3,966.07, 5,472.66 and 2,287.54

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Solution

The fourth proportional to 3,966.07, 5,472.66 and 2,287.54 is: 3,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.07 : 5,472.66 = 2,287.54 : x
  2. Step 2: Convert to fraction form
    3,966.07/5,472.66 = 2,287.54/x
  3. Step 3: Cross multiply
    3,966.07x = 5,472.66 × 2,287.54
  4. Step 4: Simplify right side
    3,966.07x = 12,518,928.66
  5. Step 5: Solve for x
    x = 12,518,928.66/3,966.07
  6. Step 6: Final answer
    x = 3,156.51

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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.