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Finding the Fourth Proportional to 4,802.26, 7,206.22 and 2,028.74

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Solution

The fourth proportional to 4,802.26, 7,206.22 and 2,028.74 is: 3,044.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.26 : 7,206.22 = 2,028.74 : x
  2. Step 2: Convert to fraction form
    4,802.26/7,206.22 = 2,028.74/x
  3. Step 3: Cross multiply
    4,802.26x = 7,206.22 × 2,028.74
  4. Step 4: Simplify right side
    4,802.26x = 14,619,546.76
  5. Step 5: Solve for x
    x = 14,619,546.76/4,802.26
  6. Step 6: Final answer
    x = 3,044.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.