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Finding the Fourth Proportional to 5,639.52, 7,786.08 and 3,546.72

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Solution

The fourth proportional to 5,639.52, 7,786.08 and 3,546.72 is: 4,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.52 : 7,786.08 = 3,546.72 : x
  2. Step 2: Convert to fraction form
    5,639.52/7,786.08 = 3,546.72/x
  3. Step 3: Cross multiply
    5,639.52x = 7,786.08 × 3,546.72
  4. Step 4: Simplify right side
    5,639.52x = 27,615,045.66
  5. Step 5: Solve for x
    x = 27,615,045.66/5,639.52
  6. Step 6: Final answer
    x = 4,896.70

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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.