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Finding the Fourth Proportional to 5,122.51, 7,684.17 and 2,524.03

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Solution

The fourth proportional to 5,122.51, 7,684.17 and 2,524.03 is: 3,786.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.51 : 7,684.17 = 2,524.03 : x
  2. Step 2: Convert to fraction form
    5,122.51/7,684.17 = 2,524.03/x
  3. Step 3: Cross multiply
    5,122.51x = 7,684.17 × 2,524.03
  4. Step 4: Simplify right side
    5,122.51x = 19,395,075.61
  5. Step 5: Solve for x
    x = 19,395,075.61/5,122.51
  6. Step 6: Final answer
    x = 3,786.24

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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.