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Finding the Fourth Proportional to 4,673.76, 7,007.28 and 2,207.28

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Solution

The fourth proportional to 4,673.76, 7,007.28 and 2,207.28 is: 3,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.76 : 7,007.28 = 2,207.28 : x
  2. Step 2: Convert to fraction form
    4,673.76/7,007.28 = 2,207.28/x
  3. Step 3: Cross multiply
    4,673.76x = 7,007.28 × 2,207.28
  4. Step 4: Simplify right side
    4,673.76x = 15,467,029.00
  5. Step 5: Solve for x
    x = 15,467,029.00/4,673.76
  6. Step 6: Final answer
    x = 3,309.33

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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.