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Finding the Fourth Proportional to 3,758.40, 5,636.52 and 1,677.24

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Solution

The fourth proportional to 3,758.40, 5,636.52 and 1,677.24 is: 2,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.40 : 5,636.52 = 1,677.24 : x
  2. Step 2: Convert to fraction form
    3,758.40/5,636.52 = 1,677.24/x
  3. Step 3: Cross multiply
    3,758.40x = 5,636.52 × 1,677.24
  4. Step 4: Simplify right side
    3,758.40x = 9,453,796.80
  5. Step 5: Solve for x
    x = 9,453,796.80/3,758.40
  6. Step 6: Final answer
    x = 2,515.38

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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.