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Finding the Fourth Proportional to 4,732.54, 7,094.22 and 2,653.54

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Solution

The fourth proportional to 4,732.54, 7,094.22 and 2,653.54 is: 3,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.54 : 7,094.22 = 2,653.54 : x
  2. Step 2: Convert to fraction form
    4,732.54/7,094.22 = 2,653.54/x
  3. Step 3: Cross multiply
    4,732.54x = 7,094.22 × 2,653.54
  4. Step 4: Simplify right side
    4,732.54x = 18,824,796.54
  5. Step 5: Solve for x
    x = 18,824,796.54/4,732.54
  6. Step 6: Final answer
    x = 3,977.74

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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.