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Finding the Fourth Proportional to 4,781.70, 7,163.42 and 2,802.47

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Solution

The fourth proportional to 4,781.70, 7,163.42 and 2,802.47 is: 4,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,781.70 : 7,163.42 = 2,802.47 : x
  2. Step 2: Convert to fraction form
    4,781.70/7,163.42 = 2,802.47/x
  3. Step 3: Cross multiply
    4,781.70x = 7,163.42 × 2,802.47
  4. Step 4: Simplify right side
    4,781.70x = 20,075,219.82
  5. Step 5: Solve for x
    x = 20,075,219.82/4,781.70
  6. Step 6: Final answer
    x = 4,198.34

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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.