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Finding the Fourth Proportional to 3,398.73, 5,098.75 and 1,177.64

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Solution

The fourth proportional to 3,398.73, 5,098.75 and 1,177.64 is: 1,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.73 : 5,098.75 = 1,177.64 : x
  2. Step 2: Convert to fraction form
    3,398.73/5,098.75 = 1,177.64/x
  3. Step 3: Cross multiply
    3,398.73x = 5,098.75 × 1,177.64
  4. Step 4: Simplify right side
    3,398.73x = 6,004,482.63
  5. Step 5: Solve for x
    x = 6,004,482.63/3,398.73
  6. Step 6: Final answer
    x = 1,766.69

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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.