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Finding the Fourth Proportional to 4,967.73, 7,451.73 and 3,006.72

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Solution

The fourth proportional to 4,967.73, 7,451.73 and 3,006.72 is: 4,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.73 : 7,451.73 = 3,006.72 : x
  2. Step 2: Convert to fraction form
    4,967.73/7,451.73 = 3,006.72/x
  3. Step 3: Cross multiply
    4,967.73x = 7,451.73 × 3,006.72
  4. Step 4: Simplify right side
    4,967.73x = 22,405,265.63
  5. Step 5: Solve for x
    x = 22,405,265.63/4,967.73
  6. Step 6: Final answer
    x = 4,510.16

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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.