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Finding the Fourth Proportional to 3,890.34, 5,832.25 and 1,697.40

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Solution

The fourth proportional to 3,890.34, 5,832.25 and 1,697.40 is: 2,544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.34 : 5,832.25 = 1,697.40 : x
  2. Step 2: Convert to fraction form
    3,890.34/5,832.25 = 1,697.40/x
  3. Step 3: Cross multiply
    3,890.34x = 5,832.25 × 1,697.40
  4. Step 4: Simplify right side
    3,890.34x = 9,899,656.91
  5. Step 5: Solve for x
    x = 9,899,656.91/3,890.34
  6. Step 6: Final answer
    x = 2,544.68

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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.