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Finding the Fourth Proportional to 4,802.44, 7,166.10 and 3,803.94

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Solution

The fourth proportional to 4,802.44, 7,166.10 and 3,803.94 is: 5,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.44 : 7,166.10 = 3,803.94 : x
  2. Step 2: Convert to fraction form
    4,802.44/7,166.10 = 3,803.94/x
  3. Step 3: Cross multiply
    4,802.44x = 7,166.10 × 3,803.94
  4. Step 4: Simplify right side
    4,802.44x = 27,259,414.43
  5. Step 5: Solve for x
    x = 27,259,414.43/4,802.44
  6. Step 6: Final answer
    x = 5,676.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.