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Finding the Fourth Proportional to 5,180.98, 7,762.94 and 2,991.54

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Solution

The fourth proportional to 5,180.98, 7,762.94 and 2,991.54 is: 4,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.98 : 7,762.94 = 2,991.54 : x
  2. Step 2: Convert to fraction form
    5,180.98/7,762.94 = 2,991.54/x
  3. Step 3: Cross multiply
    5,180.98x = 7,762.94 × 2,991.54
  4. Step 4: Simplify right side
    5,180.98x = 23,223,145.53
  5. Step 5: Solve for x
    x = 23,223,145.53/5,180.98
  6. Step 6: Final answer
    x = 4,482.38

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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.