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Finding the Fourth Proportional to 4,970.97, 7,451.60 and 2,051.73

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Solution

The fourth proportional to 4,970.97, 7,451.60 and 2,051.73 is: 3,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.97 : 7,451.60 = 2,051.73 : x
  2. Step 2: Convert to fraction form
    4,970.97/7,451.60 = 2,051.73/x
  3. Step 3: Cross multiply
    4,970.97x = 7,451.60 × 2,051.73
  4. Step 4: Simplify right side
    4,970.97x = 15,288,661.01
  5. Step 5: Solve for x
    x = 15,288,661.01/4,970.97
  6. Step 6: Final answer
    x = 3,075.59

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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.