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Finding the Fourth Proportional to 3,770.78, 5,653.89 and 1,690.40

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Solution

The fourth proportional to 3,770.78, 5,653.89 and 1,690.40 is: 2,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.78 : 5,653.89 = 1,690.40 : x
  2. Step 2: Convert to fraction form
    3,770.78/5,653.89 = 1,690.40/x
  3. Step 3: Cross multiply
    3,770.78x = 5,653.89 × 1,690.40
  4. Step 4: Simplify right side
    3,770.78x = 9,557,349.79
  5. Step 5: Solve for x
    x = 9,557,349.79/3,770.78
  6. Step 6: Final answer
    x = 2,534.59

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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.