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Finding the Fourth Proportional to 5,037.58, 7,551.16 and 3,647.47

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Solution

The fourth proportional to 5,037.58, 7,551.16 and 3,647.47 is: 5,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037.58 : 7,551.16 = 3,647.47 : x
  2. Step 2: Convert to fraction form
    5,037.58/7,551.16 = 3,647.47/x
  3. Step 3: Cross multiply
    5,037.58x = 7,551.16 × 3,647.47
  4. Step 4: Simplify right side
    5,037.58x = 27,542,629.57
  5. Step 5: Solve for x
    x = 27,542,629.57/5,037.58
  6. Step 6: Final answer
    x = 5,467.43

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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.