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Finding the Fourth Proportional to 3,905.02, 5,860.12 and 1,825.19

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Solution

The fourth proportional to 3,905.02, 5,860.12 and 1,825.19 is: 2,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.02 : 5,860.12 = 1,825.19 : x
  2. Step 2: Convert to fraction form
    3,905.02/5,860.12 = 1,825.19/x
  3. Step 3: Cross multiply
    3,905.02x = 5,860.12 × 1,825.19
  4. Step 4: Simplify right side
    3,905.02x = 10,695,803.12
  5. Step 5: Solve for x
    x = 10,695,803.12/3,905.02
  6. Step 6: Final answer
    x = 2,738.99

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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.