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Finding the Fourth Proportional to 3,900.18, 5,846.43 and 1,559.49

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Solution

The fourth proportional to 3,900.18, 5,846.43 and 1,559.49 is: 2,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.18 : 5,846.43 = 1,559.49 : x
  2. Step 2: Convert to fraction form
    3,900.18/5,846.43 = 1,559.49/x
  3. Step 3: Cross multiply
    3,900.18x = 5,846.43 × 1,559.49
  4. Step 4: Simplify right side
    3,900.18x = 9,117,449.12
  5. Step 5: Solve for x
    x = 9,117,449.12/3,900.18
  6. Step 6: Final answer
    x = 2,337.70

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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.