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Finding the Fourth Proportional to 4,720.97, 7,075.34 and 1,944.50

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Solution

The fourth proportional to 4,720.97, 7,075.34 and 1,944.50 is: 2,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.97 : 7,075.34 = 1,944.50 : x
  2. Step 2: Convert to fraction form
    4,720.97/7,075.34 = 1,944.50/x
  3. Step 3: Cross multiply
    4,720.97x = 7,075.34 × 1,944.50
  4. Step 4: Simplify right side
    4,720.97x = 13,757,998.63
  5. Step 5: Solve for x
    x = 13,757,998.63/4,720.97
  6. Step 6: Final answer
    x = 2,914.23

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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.