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Finding the Fourth Proportional to 4,172.77, 5,750.49 and 3,054.05

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Solution

The fourth proportional to 4,172.77, 5,750.49 and 3,054.05 is: 4,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.77 : 5,750.49 = 3,054.05 : x
  2. Step 2: Convert to fraction form
    4,172.77/5,750.49 = 3,054.05/x
  3. Step 3: Cross multiply
    4,172.77x = 5,750.49 × 3,054.05
  4. Step 4: Simplify right side
    4,172.77x = 17,562,320.60
  5. Step 5: Solve for x
    x = 17,562,320.60/4,172.77
  6. Step 6: Final answer
    x = 4,208.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.