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Finding the Fourth Proportional to 4,802.76, 7,205.22 and 3,584.66

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Solution

The fourth proportional to 4,802.76, 7,205.22 and 3,584.66 is: 5,377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.76 : 7,205.22 = 3,584.66 : x
  2. Step 2: Convert to fraction form
    4,802.76/7,205.22 = 3,584.66/x
  3. Step 3: Cross multiply
    4,802.76x = 7,205.22 × 3,584.66
  4. Step 4: Simplify right side
    4,802.76x = 25,828,227.90
  5. Step 5: Solve for x
    x = 25,828,227.90/4,802.76
  6. Step 6: Final answer
    x = 5,377.79

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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.