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Finding the Fourth Proportional to 3,697.80, 5,543.07 and 1,846.14

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Solution

The fourth proportional to 3,697.80, 5,543.07 and 1,846.14 is: 2,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.80 : 5,543.07 = 1,846.14 : x
  2. Step 2: Convert to fraction form
    3,697.80/5,543.07 = 1,846.14/x
  3. Step 3: Cross multiply
    3,697.80x = 5,543.07 × 1,846.14
  4. Step 4: Simplify right side
    3,697.80x = 10,233,283.25
  5. Step 5: Solve for x
    x = 10,233,283.25/3,697.80
  6. Step 6: Final answer
    x = 2,767.40

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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.