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Finding the Fourth Proportional to 6,290.55, 9,435.78 and 1,908

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Solution

The fourth proportional to 6,290.55, 9,435.78 and 1,908 is: 2,861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.55 : 9,435.78 = 1,908 : x
  2. Step 2: Convert to fraction form
    6,290.55/9,435.78 = 1,908/x
  3. Step 3: Cross multiply
    6,290.55x = 9,435.78 × 1,908
  4. Step 4: Simplify right side
    6,290.55x = 18,003,468.24
  5. Step 5: Solve for x
    x = 18,003,468.24/6,290.55
  6. Step 6: Final answer
    x = 2,861.99

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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.