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Finding the Fourth Proportional to 3,768.47, 5,653.90 and 1,690.26

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Solution

The fourth proportional to 3,768.47, 5,653.90 and 1,690.26 is: 2,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.47 : 5,653.90 = 1,690.26 : x
  2. Step 2: Convert to fraction form
    3,768.47/5,653.90 = 1,690.26/x
  3. Step 3: Cross multiply
    3,768.47x = 5,653.90 × 1,690.26
  4. Step 4: Simplify right side
    3,768.47x = 9,556,532.42
  5. Step 5: Solve for x
    x = 9,556,532.42/3,768.47
  6. Step 6: Final answer
    x = 2,535.92

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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.